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
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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
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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.
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You can put this solution on YOUR website! ---
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
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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)
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answer:
a = 3500 radians/min
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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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