MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

angular velocity is given by:

Ο=v/r

where:

Ο=angular velocity

v=linear velocity

r=radius

From the question;

v=40Ο inches/sec

r=10

therefore:

Ο=40Ο/10= 4Ο radians per per/sec

Ο=v/r

where:

Ο=angular velocity

v=linear velocity

r=radius

From the question;

v=40Ο inches/sec

r=10

therefore:

Ο=40Ο/10= 4Ο radians per per/sec