A wheel with a radius 10 inches covers a distance of 40pie inches in one second. What is the angular speed of this wheel?

A) 2pie radians per/sec

B) 4pie radians per/sec

C) pie radians per/sec

D) 2 radians per/sec

E) 4 radians per/sec

F) None of these

Question

Mathematics

Kamren Estrada

17 February, 11:46

A wheel with a radius 10 inches covers a distance of 40pie inches in one second. What is the angular speed of this wheel?

A) 2pie radians per/sec

B) 4pie radians per/sec

C) pie radians per/sec

D) 2 radians per/sec

E) 4 radians per/sec

F) None of these

+1

Answers (1)

Know the Answer?

Jonah Sparks · Answer 1

Angular velocity is given by:

ω=v/r

where:

ω=angular velocity

v=linear velocity

r=radius

From the question;

v=40π inches/sec

r=10

therefore:

ω=40π/10 = 4π radians per per/sec

A wheel with a radius 10 inches covers a distance of 40pie inches in one second. What is the angular speed of this wheel?A) 2pie radians per/secB) 4pie radians per/secC) pie radians per/secD) 2 radians per/secE) 4 radians per/secF) None of these

A wheel with a radius 10 inches covers a distance of 40pie inches in one second. What is the angular speed of this wheel?

A) 2pie radians per/sec

B) 4pie radians per/sec

C) pie radians per/sec

D) 2 radians per/sec

E) 4 radians per/sec

F) None of these