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# a wheel f diameter 32 cm spins at 140 m.p.h. what is the angular velocity in radians per second?

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a wheel f diameter 32 cm spins at 140 m.p.h. What is the angular velocity in radians per second? What is the linear velocity of a point on the rim of the wheel? answer in inches per second.

Guest Oct 14, 2014

### Best Answer

#1
+85564
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So the radius = 32/2 = 16cm

Converting 16cm to inches we have

16/(2.54cm) = about 6.3in

And the number of inches the wheel spins through in 1 second =

140m/hr x  1hr/3600sec  x 5280ft/1mi x 12in/1ft = 2464 in/ sec....this is the linear velocity

So, rhe angular velocity is.....

s = rΘ

2464in/sec = (6.3in)Θ   divide both sides by 6.3

About 391.1 rads/sec

CPhill  Oct 14, 2014
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### 1+0 Answers

#1
+85564
+5
Best Answer

So the radius = 32/2 = 16cm

Converting 16cm to inches we have

16/(2.54cm) = about 6.3in

And the number of inches the wheel spins through in 1 second =

140m/hr x  1hr/3600sec  x 5280ft/1mi x 12in/1ft = 2464 in/ sec....this is the linear velocity

So, rhe angular velocity is.....

s = rΘ

2464in/sec = (6.3in)Θ   divide both sides by 6.3

About 391.1 rads/sec

CPhill  Oct 14, 2014

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