The torque caused by a force F applied at a distance r from the axis of rotation,is given by τ = rFsinθ,where θ is the angle between
And
)If the magnitudes r and F remain the same,what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°?
A)θ' = 90° - θ
B)θ' = 90° + θ
C)θ' = 180° - θ
D)None of the above.

Question

The torque caused by a force F applied at a distance r from the axis of rotation,is given by τ = rF​sinθ,where θ is the angle between 
And 
)If the magnitudes r and F remain the same,what other angle θ' will produce the same torque as was produced at angle θ if θ was less than 90°?
A)θ' = ​90° - θ 
B)θ' = ​90° + θ 
C)θ' = ​180° - θ 
D)None of the above.

Quizplus · Accepted Answer

Since sinθ = sin(180° - θ), we know that the sine function is symmetric about the line θ = 90°. Therefore, if θ is less than 90°, then the corresponding θ' that will produce the same torque as θ is 180° - θ. This is because the sine value will be the same at both angles, but since the distance r and force F remain the same, the torque equation will be the same as well. So, θ' = 180° - θ.

The Torque Caused by a Force F Applied at a Distance