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“MA = 8 ÷ 2 = 4”
if a first-class lever with a resistance arm measuring 2 feet and an effort arm measuring 8 feet are being used, whats the mechanical advantages?
“F = 15 × 24 = 360 pounds.
air pressure at sea level is about 15 psi. whats the amount of force excerted on top of your head, given a surface area of 24 square inches?
4 psi
a cubic foot of water weighs about 62.5 pounds. if an aquarium is 18 feet long, 10 feet deep, and 12 feet wide, whats the approximate pressure in pounds per square inch (psi) on the bottom of the tank?
steel
springs used in machines are usually made of
coupling
a clutch is a type of
runner
a single block-and-fall called a
key
if a house key, a wooden spoon, a plastic, and a wool jacket are all the same temperature. on a cool day, which one feels the coldest?
divide the amount of work done by the amount of time it takes
a way to determine the amount of power being used is to
silver
a wood tool, a silver tool, and a steel tool are placed in boiling water for cleaning. which tool will get hot the fastest?
force
mass × acceleration
vector quantities
forces that has both size and direction
equilibrium
a stable situation in which forces cancel one another
velocity
the speed and direction of a moving object
acceleration
the rate at which velocity changes
pressure
force (in pounds) ÷ area (in inches)
work
force × distance
pounds-force or newtons
tension is measured in
foot-pounds
work is measured in
power
work ÷ time
horsepower (hp)
power is measured in
1 horsepower
33,000 foot-pounds per minute or 550 foot-pounds per second
mechanical advantage
when a machine multiplies the force you use
mechanical advantage
resistance ÷ effort = output force ÷ input force
fulcrum
point of support to reduce resistance and multiply the effect of effort
resistance arm
the part of a lever that applies a force on an object
effort arm
the part of a lever that you apply an input effort force to.
length of effort arm ÷ length of resistance arm = resistance force ÷ effort force
to determine how much a lever reduces the amount of effort needed to do work
effort arm ÷ resistance arm
mechanical advantage of using a lever
length of ramp ÷ height of ramp = weight of object being moved ÷ force required to move object
mechanical advantage of using a ramp
block and tackle pulleys
make lifting heavy objects easier or change the direction of the pull
a simple pulley
force must equal the weight of the object
gears
used to change direction, increase or decrease speed, or increase or decrease force
the first and last gear turn in opposite directions
if you have an even number of gears connected in a series
the first and last gear turn in the same direction
if you have an odd number of gears connected in a series
number of teeth
the speed at which a gear rotates depends on the ______
bevel gears
used to connect gears that have shafts (that aren't parallel to one another) at different angles
drive other pulleys
when connected by a system of belts, pulley can do what?
how fast a pulley rotates depends of what?
diameter of the pulley in relation to the diameter of the pulley that's driving it
wheel and axle
multiplies the effort used producing a greater force
wheel and axle
are fixed together and turn at the same time; ex. using a steering wheel
wheel and axle mechanical advantage
the relationship between the radius of the wheel and the radius of the area to which force is being applied
pitch
the distance between the ridges of the spiral (on the screw of a vise) is called the _____ of the thread
greater
the ____ the pitch of the thread, the farther the jaws of the vice move for each revolution of the handle
more
larger pitches require ____ force to rotate the handle than screws with smaller pitches do
hydraulic jack
uses a nearly incompressible liquid, such as oil, to exert force in order to move an object
mechanical advantage of a hydraulic jack
the ratio between the diameters of the two cylinders
F=MA
What formula do you use to find force?
W=MG
What formula do you use to find weight?
W=FD
What formula do you use to find Work?
P=W/T or P=FD/T
What formula(s) do you use to find power?
KE=1/2mv²
What formula do you use to find Kinetic Energy?
PE=MGH
What formula do you use to find Potential Energy?
MA=Output Force/Input Force
What is the general formula to calculate mechanical advantage?
MA=Height of Incline/Length of Incline
What formula is to find the incline plane mechanical advantage?
MA=Length of Effort Arm/Length of Resistance Arm
What formula is to find the pulley system?
IMA=Distance Input/Distance Output
Formula for Ideal Mechanical Advantage:
E=(Work Output/Work Input) x 100%
Formula for Efficiency:
τ=F⋅R
Formula for Torque:
ω=2π⋅RPM/60
Formula to convert RPM to angular velocity:
GR=Teeth on Driven Gear/Teeth on Driver Gear
Formula for Gear Ratio:
D1 x N1=D2 x N2
Formula for pulley speed relationship:
V=D/T
Formula for velocity:
A=V/T
Formula for acceleration:
D=vt+1/2at²
Formula for Distance with acceleration:
P=F/A
Pascals Principle:
f=μ⋅N
Formula for friction:
N=m×g
Normal force formula?
Torque
the degree to which a force causes an object to rotate
Speed is different from velocity because
Velocity involves both speed and direction
a mechanism
Mechanical advantage is the advantage gained by the use of ___________ in transmitting force
Weight is not totally dependent on mass
Which of the following statements about weight is NOT true?
4:1
Which of the following represents the mechanical advantage of a wheel and axle system where the driven wheel has a radius of 10" and drive wheel has diameter of 5"?
Use a longer wrench
In order to apply more toque to a bolt, a mechanic could
the net force acting on the vehicle are zero
A vehicle travels at a constant speed on the highway. It can be said that
a second-class lever
A wheelbarrow is considered what type of lever?
One pound of force is applied to move an object a distance of one foot. how much work has been done?
1 foot-pound
Which of the following statements about energy is NOT true?
The amount of energy is the universe is slowly diminishing
Which of the following is NOT a true statement about the principles that underlie hydraulics?
A liquid can be dramatically compressed in order to increase the amount of force the liquid can transfer
In order to hit a baseball so that the ball has a greater velocity, the player must
make contact with the ball for a longer period of time
an area
Pressure is equal to force acting over
F=ma
What is the formula for torque?
W= m(9.8)
What is the formula for weight?
P= F/A
What is the formula for pressure?
T= rF
What is the formula for torque?
KE = 1/2mv^2
What is the formula for Kinetic Energy?
Work = Force x Distance
What is the formula for Work?
magnetism
An induction clutch works by
4
If the first-class lever with a resistance arm measuring 2 feet and an effort arm measuring 8 feet are being used, what's the mechanical advantage?
No. 3
The bottom of four boxes are shown below. The boxes all have the same volume. If postal regulations state that the sides of a box must meet a minimum height, which box is most likely to be too short to go through the mail?
rise in the air quickly
Looking at the figure below, when Anvil B lands on the seesaw, Anvil A will
360 pounds
Air pressure at sea level is about 15 psi. What's the amount of force exerted on the top of your head, given a surface area of 24 square inches?
about 16 2/3
In the figure below, if Gear 1 has 25 teeth and Gear 2 has 15 teeth, how many revolutions does Gear 2 make for every 10 revolutions Gear 1 makes?
4 psi
A cubit foot of water weights about 62.5 pounds. If an aquarium is 18 feet long, 10 feet deep, and 12 feet wide, what's the approximate pressure in pounds per square inch (psi) on the bottom of the tank?
steel
Springs use in machines are usually made of
coupling
A clutch is a type of
twice
When Cam A completes one revolution, the lever will touch the contact point
runner
A single block-and-fall is called a
easier to life, but will not move as high
In the figure below, if the fulcrum supporting the lever is moved closer to the anvil, the anvil will be
2
The mechanical advantage of the block-and-tackle arrangement shown below is