Kinematics of Uniform Circular Motion

Can kinematics equations for constant acceleration be applied to uniform circular motion?

No.

Why can't constant acceleration kinematics equations be applied to uniform circular motion?

Because the path is not straight and the direction of acceleration is constantly changing.

What is Period (T) in circular motion?

The time taken for a body to make one complete revolution.

What is the S.I. unit for Period?

seconds (s).

What is Frequency (f) in circular motion?

The number of revolutions made per unit time.

What is the S.I. unit for Frequency?

Hertz (Hz).

What is the relationship between Period (T) and Frequency (f)?

f = 1/T.

What is Angular Displacement (θ)?

The angle a body rotates through with respect to its initial position.

What is the S.I. unit for Angular Displacement?

radian (rad).

What is a Radian?

The angle subtended by an arc length equal to the radius of the arc.

What is the general relation for angle θ measured in radians?

θ = s/r, where s is arc length and r is radius.

What is the angular displacement for one complete revolution?

2π radians.

What is Angular Velocity (ω)?

The rate of change of its angular displacement with respect to time.

What is the S.I. unit for Angular Velocity?

rad s⁻¹.

Is Angular Velocity a vector or scalar quantity?

Vector quantity.

What is the direction of Angular Velocity described as?

Clockwise or anti-clockwise.

Is Angular Velocity constant in uniform circular motion?

Yes.

What is Linear Velocity (v) also known as?

Tangential velocity.

Is Linear Velocity a vector or scalar quantity?

Vector quantity (linear speed is its magnitude).

Is Linear Speed constant in uniform circular motion?

Yes.

What is the relationship between Angular Velocity (ω) and Linear Velocity (v)?

v = rω.

What is the relationship between Linear Speed (v) and Period (T)?

v = Circumference / T = 2πr / T.

What is the relationship between Angular Velocity (ω), Period (T) and Frequency (f)?

ω = 2π / T = 2πf.