Question 605878: A circular gear turns 60 degrees per hour. Through how many radians does it turn in a 24-hour day? Found 2 solutions by jim_thompson5910, lwsshak3:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! If "A circular gear turns 60 degrees per hour" and it turns 24 hours, then it will turn a total of 60*24 = 1440 degrees.
Notice that 1440/360 = 4. So this means it will complete 4 full revolutions in 24 hours.
We know that one full revolution in radians is radians. So 4 full revolutions is radians.
You can put this solution on YOUR website! A circular gear turns 60 degrees per hour. Through how many radians does it turn in a 24-hour day?
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By dimensional analysis:
60 deg/hr*2π rad/360 deg*24 hr=(60*2π*24)/360 =8π radians
ans:
radians circular gear turns in a 24-hour day=8π radians
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