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## Homework Statement

Car runs at 55 mi/hr. and the nail is lodged in tire 13 in from center of wheel, then what is the angular velocity of the nail in rad/hour?

## Homework Equations

w= v/r

## The Attempt at a Solution

First I will convert 55 miles into inches.

55 mile * 5280 FT/mile * 12 Inches/FT = 3484800 inches.

Velocity = 3484800 INCH/HR

R = 6.5 INCH

Thus:3484800 / 6.5 = 6969600 inch/hr

(Is this correct so far)....

then how do I convert that into rad/hr....?

Is there a formula that I am not aware of?

Please help. thank you,.