State the equation to find centripetal acceleration
acceleration = velocity ^2 Ă· radius
State the equation to find the centripetal force
centripetal force = acceleration = mass x velocity ^2 Ă· radius
State the equation to find angular velocity
angular velocity = 2 x π x frequency ( 1 ÷ time period )
State the equation to find linear velocity
Linear velocity = angular velocity x radius
What is the unit of angular velocity
Rad s^-1
Write an expression for the Cf required on a vehicle going over the top of a curved bridge or hill
F = m x g - N where N = normal contact force exerted by the road on the vehicle & m= the vehicle's mass
Why do you feel heavier at the bottom of a loop the loop than at the top
Because what you experience as your weight is actually the normal contact force on you - the normal contact force on you is greater at the bottom than at the top
Define angular velocity
Rate of change of angle for an object moving in a circular path symbol w
Direction of the velocity of an object travelling in a circle at a constant speed
Along the tangent to the circle ( at its position )
When do you feel weightless
When the normal contact force on you is zero
Define angular frequency
A quantity used in oscillatory motion - equal to the product of frequency f & 2 pie
An object in circular motion is accelerating, despite travelling at a constant speed. how
It is constantly changing direction therefore constantly changing velocity & acceleration is defined as the rate of change of velocity
Measurements you'd make in whirling bung practical?
measure the radius of the circle with a ruler while the equipment is stationary; measure the time for multiple revolutions with a stopwatch then divide, to increase accuracy and reduce uncertainty; measure the masses of the bung and the hanger using an electronic balance
Where on loop the loop do you feel weightless & why
At the top when your weight = required CF contact force = 0 and when v = root g x r