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

AI Thread Summary
To calculate the radius of a rotating wheel, the formula r = DeltaS / DeltaTheta is used, where DeltaS is the arc length and DeltaTheta is the angle in radians. The angle of 35 degrees is converted to approximately 0.61 radians, leading to a calculated radius of 4.1 meters using the given arc length of 2.5 meters. The additional data regarding arc lengths for 35 radians and 35 revolutions is deemed unnecessary for determining the radius. The main focus remains on the initial parameters provided for the calculation. Thus, the radius of the wheel is confirmed to be 4.1 meters.
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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