A corroded bolt requires a minimum torque of to loosen
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A corroded bolt requires a minimum torque of 60N⋅m to loosen. A technician has a 0.35m wrench but, because of surrounding machinery, can apply the pulling force only at an angle of 35∘ relative to the handle. The technician’s maximum sustainable pulling force is 90N.
(a) Show quantitatively whether the technician can generate the required torque under these restrictions.
(b) If the result from part (a) indicates the torque is insufficient, determine either
• the minimum angle (measured relative to the handle) at which the technician would have to pull with the same 90N force, or
• the minimum wrench length needed if the 35∘ pulling angle is unavoidable.
Choose one of these two options and provide your calculation and final numerical answer.
(c) Discuss, in two or three sentences, how safety-factor considerations might influence the technician’s choice between increasing wrench length and changing the pulling angle.