SOLUTION: please answer this question: a truck is moving at a rate of 105 kilometers per hour, and the diameter of its wheel is 1 meter. Find the angular speed of the wheels in radians per

Question 821685: please answer this question:
a truck is moving at a rate of 105 kilometers per hour, and the diameter of its wheel is 1 meter. Find the angular speed of the wheels in radians per minute.
Thank you:)

Found 3 solutions by TimothyLamb, stanbon, josgarithmetic:
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
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c = 2 pi r
c = 2 pi 1/2
c = 3.1415927 m / rev
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linear speed:
s = (105 km / hr) * (1000 m / km) * (1/60 hr / min)
s = 1750 m / min
---
angular speed:
a = s / c
a = (1750 m / min) / (3.1415927 m / rev)
a = 557.0423 rev / min
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convert angular speed to radians/minute:
a = (557.0423 rev / min) * (2pi radians / rev)
a = (557.0423 rev / min) * (2*3.1415927 radians / rev)
---
answer:
a = 3500 radians/min
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Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a truck is moving at a rate of 105 kilometers per hour, and the diameter of its wheel is 1 meter. Find the angular speed of the wheels in radians per minute.
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Perimeter of the wheel = pi*d = pi meters
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At 105 km/hr the wheel turns (105000/pi) rev/hour = (33422.53) rev/(60 min)
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557.04 rev/min
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Ans: = 557.04*2pi/min = 3500 radian/min
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Cheers,
Stan H.
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Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
That is circumference of meters. How many pi is in ...
...wait... just adjust for the units.

Note how the units work, and that this expression begins with the road speed in meters per hour (although 60 minutes is used for the 1 hour time).
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