Question 484815: A Wheel makes 32 revolutions per minute. Find in radians the angle through which the wheel turns in 3 seconds. How long will it take to turn through 25 degree?
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! A Wheel makes 32 revolutions per minute. Find in radians the angle through which the wheel turns in 3 seconds. How long will it take to turn through 25 degree?
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You can think of this problem as anagalous to a travel problem:
distance=rate*time
or
radians = (rev/min)*time
and using quantitative analysis
..
For given problem:
radians=32 rev/min*3 sec*min/60sec*2π radians/rev
rev, min, and sec cancel out leaving:
(32*3*2π)/60 radians=3.2π radians
Ans:
The angle through which the wheel turns in 3 seconds=3.2π radians
..
Time=radians/(rev/min)=25deg/(32 rev/min)*rev/360 deg*60 sec/min
deg, min and rev cancel out, leaving: (25*60)/(32*360) sec=.1302 sec
Ans:
To turn through 25 degrees will take .1302 sec
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