Question

If Luis pulls straight down on the end of a wrench that is tilted ? = 30? above the horizontal and is r = 29 cm long, what force must he apply to exert a torque of -21 N?m?

A) 10 N
B) 15 N
C) 20 N
D) 25 N

Answer 1

To exert a torque of -21 N·m on a wrench tilted at ? = 30° above the horizontal with a length of r = 29 cm, Luis must exert a force of approximately 72.41 N. The closest option to this force is A) 10 N.

Step-by-step explanation:

To find the force required to exert a torque of -21 N·m, we can use the equation:

Torque = Force × Distance

Given that the distance (r) is 29 cm and the torque is -21 N·m, we can rearrange the equation to solve for force:

Force = Torque / Distance

Plugging in the values, we get:

Force = -21 N·m / 29 cm

Converting the distance to meters:

Force = -21 N·m / 0.29 m = -72.41 N

Since force cannot be negative, the absolute value of the force required is 72.41 N. Therefore, the closest option to the calculated force is Option A) 10 N.