Physics Math

Question

An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 7500 rev/min. A.) Calculate the magnitude of the centripetal acceleration at its edge in meters per second squared and convert it to multiples of g. B.) An ordinary workshop grindstone has a radius of 7.50 cm and rotates at 7500 rev/min. What is the linear speed in m/s of a point on its edge (in m/s)?

Answer 1

(A)

 

a_c = rω² = (0.0750 m) [2π(7500)/(60 s)]² = ? m/s²

 

In terms of g's, 

 

a_c/g = a_c/(9.8 m/s²)

 

Just plug in the result for a_c and divide by 9.8 m/s².

 

(B)

 

v = rω 

 

r = 0.0750 m

ω = 2π(7500)/(60 s)

 

v = (0.0750 m) [2π(7500)/(60 s)] = ? m/s