Physics: What is the tangential velocity, and how many revolutions?

Question

The new blade on my table saw has a radius of 15.0 cm. My table saw has a maximum speed of 3750 rpm. If it takes 2.50 seconds to get up to this final speed, what is the tangential velocity of the tip of the saw blade, and how many revolutions does it pass through in that amount of time?

Answer 1

Tangential Velocity = radius * angular velocity = 15 cm * 3750/60 seconds = 937.5 cm/s

 

3750 rpm = 3750/60 rps = 62.5 rps

 

62.5 rps * 2.5 seconds = 156.25 revolutions