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The bolts on a car wheel require tightening to a torque of 90 Núm is the beginning of the question so it should read
The bolts on a car wheel require tightening to a torque of 90 Núm. If a 30 cm long wrench is used what is the magnitude of the force required when the force is 53ø to the wrench

2007-10-19 17:54:18 · 2 answers · asked by MeDIGURU 1 in Science & Mathematics Physics

2 answers

torque = r*F*sin (theta)

r = length of wrench
theta = angle between the force and the wrench*
sin(theta)= 53

F = torque/r sin(theta) = 90 N-m/(0.3m*sin(53))

final answer should be 375.64 and when rounded should be 380 N.

Know that the sin is in place because it runs perpendicular to the wrench!!!
~Early physics~

2007-10-20 08:55:19 · answer #1 · answered by Alicia M 1 · 0 0

torque = r*F*sin (theta)

r = length of wrench
theta = angle between the force and the wrench*

*The sin term is present because that's the component of the force that's perpedicular to the wrench/axis of rotation

F = torque/r sin(theta) = 90 N-m/(0.3m*sin(58))

= 353.75 N

2007-10-20 02:58:25 · answer #2 · answered by The K-Factor 3 · 0 0

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