A gear with a radius of 8 centimeters is turning at pi/3 radians per second.What is the linear speed at a point on the outer edge of the gear?

Answer 1

Hi Nyssa:

Here's how to do this one.

By definition, angular velocity is ω = v/r [ω = angular velocity in radians/sec, v = linear velocity, r = radius

Here, we know ω and r, so we can calculate v.

Rewriting the above equation, v = ωr

= (π/3) x 8 cm/sec

= 8π/3 cm/sec.