Morning/Afternoon!!

• Pg. 324 #70 – 76 all

• First, we will discuss the test!

Angular and Linear Velocity

Motion:• Radian measure can be

used to analyze the motion of a point moving at a constant speed along a circular path.

• Let P be a point on the circumference of the wheel where r is the radius rotating at a constant rate.

• The angular velocity (speed) of the wheel, in radians per second, is the angle swept out in 1 sec by the line segment from the center of the wheel to the point P on the wheel’s circumference.

• The linear velocity (speed) of the point P, in feet per second, is the distance P travels in 1 second.

. .

sec sec

rad s rad

r

sec sec

ft fts r

Angular and Linear Velocity

A wheel with radius of 18 in. is rotating at 850rpm (revolutions per minute). Determine the following:

• The angular speed of the wheel in radians per second

• The linear speed in feet per second of a point on the circumference of the wheel.(Hint: 1 rpm = 2π rad./min)