Question 146557: 1.find the radius of a pulley which is driven at 100rev/min by a belt moving at 12 m/s.
2.a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32degrees in a distance of 50cm?
pls., help me in my assignment in trigonometry.,. tnx a lot.
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! 1.find the radius of a pulley which is driven at 100rev/min by a belt moving at 12 m/s.
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Recap on important info pulled from problem:
pulley is revolving 100 times per minute
belt is moving at 12m/s.
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In a minute, the belt moved:
12 m/s * 60 sec/min = 720 meters
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Now, to determine the circumference of the pulley, we simply divide the "distance traveled" (720) by the "number of revolutions" (100):
720/100 = 7.2 meters
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Circumference of a circle = 2(pi)r
where:
pi=3.14
r = radius
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therefore,
7.2 = 2(3.14)r
3.6 = 3.14r
1.15 meters = radius
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2.a railroad toy is laid out in circular form. what diameter should be used if the track is to change direction by 32degrees in a distance of 50cm?
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There is 360 degrees in a circle.
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Let C = circumference
then
(32/360)C = 50cm
32C = 18000cm
C = 562.5 cm
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Now, the relationship of diameter to circumference is:
C = (pi)D
where D=diameter
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562.5 cm = (3.14)D
179.14 cm = D
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