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convert unit
from linear to angular
calculation
100
omega
What is angular velocity
100

What is the angular kinematic equation to use without angular acceleration?

delta theta = (1/2)*(omega final + omega initial)*time

100
from revolution to rad
multiply by 2Pi
100
given angular velocity w, how to find linear velocity
What is v= r w
100

The angle through which a merry go round has turned varies with time according to theta(t) = 0.400[rad/s] t + 0.012[rad/s3] t3. What is the initial angular velocity?

0.400 rad/s

200
alpha
What is angular acceleration
200

What is the angular kinematic equation to use without time?

(omega final)2 = (omega intial)2 + 2*(alpha)*(delta theta)

200
from rpm to rad/s
multiply by 2Pi and divide by 60
200
how to find tangent acceleration from angular acceleration (alpha)
a = r (alpha)
200

The rotating blade of a blender turns with a constant acceleration 1.50 rad/s2.How much time does it take to reach an angular velocity of 36.0 rad/s starting from rest?

What is 24s

300
theta
What is angular displacement
300

What is the angular kinematic equation to use without delta theta?

(omega final) = (omega initial) +(alpha) * time

300
from rad/s to rpm
multiply by 60 and divide by 2Pi
300

This angular formula is useful when time t is not given

(omega final)2 - (omega initial)2= 2(alpha)*(theta final - omega initial)

300

A circular saw blade 0.2 m in diameter starts from rest. In 6s, it accelerate with constant acceleration to an angular velocity of 140 rad/s. What is the angle through which the blade has turn?

What is 420 rad or 66.845 revolutions