Chapter 9 - Circular Motion 1

Question 1

What are the four equations regarding circular motion at constant speed with theta in radians?

Answer 1

The four equations regarding circular motion at constant speed with theta in radians are:

s = r(θ) where s is arc length, r is radius, and theta is the angle through which the point rotates.

w = d(θ) / d(t), where w is angular velocity, theta is the angle through which the point rotates and t is the time.

v = rw, where v is linear velocity, r is radius, w is angular velocity.

T = 2π / w, where T is time period, and w is angular velocity.

Question 2

Describe the relationship a body has with the centre, moving on a circular path?

Answer 2

A body moving on a circular path of radius r with constant angular velocity w about the centre has:

A constant speed v = rw along the tangent,

An acceleration a = rw² = v²/r

Question 3

What is the equation of centripetal force?

Answer 3

Centripetal force is = mrw² = m (v²)/r, where m is mass, r is radius, w is angular velocity.