Calculating the Radius of a Rotating Wheel Using Radians and Arc Length

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SUMMARY

The discussion focuses on calculating the radius of a rotating wheel using the relationship between arc length and angle in radians. The key equation used is r = DeltaS / DeltaTheta, where DeltaS is the arc length and DeltaTheta is the angle in radians. The user converted 35 degrees to approximately 0.61 radians and calculated the radius as 4.1 meters using the arc length of 2.5 meters. Additional information regarding arc lengths for 35 radians and 35 revolutions was deemed unnecessary for solving the problem.

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Unity
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Homework Statement


When a wheel is rotated through an angle of 35o, a point on the circumference travels through an arc length of 2.5m. When the wheel is rotated through angles of 35 radians and 35 revolutions, the same point travels through arc lengths of 143m and 9.0 x 102m, respectively. What is the radius of the wheel?

DeltaS = 2.5m
DeltaTheta = 35o
r = ?

Homework Equations


r = DeltaS / Delta Theta


The Attempt at a Solution


Okay, so first i converted 35o to radians and came out with .61 radians.
(35o x Pie) / 180o = .61 radians

Next I plugged the variables into the equation.
2.5m / .61 radians = 4.1m. Thus 4.1 being the radius.
My main concern is the other information that i was given, is it relevant to the problem? Or is it simply extra information?
Thanks in advance!
 
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Hi Unity, welcome to PF.
As you have said, the first information is sufficient to find the radius.
 
Thanks for the answer man. I'll definantly be sticking around. :approve:
 

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