# Chapter 9 - Circular Motion 1 Flashcards

## Kinematics of Vertical and Horizontal motion... Keep on rolling!

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

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.

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

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

What is the equation of centripetal force?

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