Chapter 8.2, Problem 11PP

To determine

The force on the wrench in perpendicular position.

Answer to Problem 11PP

The force needed in perpendicular position of the wrench is $145.83\text{N}$ .

Explanation of Solution

Given info:

Torque on the wrench, $\tau =35\text{N}\cdot \text{m}$

Length of the wrench is, $r=25\text{cm}$

Angle for the force perpendicular to wrench, $\theta =90°$

Formula Used:

The expression for force needed in perpendicular position of the wrench is,

  $F=\frac{\tau }{r\sin \theta }$

Calculation:

Substitute the values in the above expression (1).

  $\begin{array}{c}F=\frac{35\text{N}\cdot \text{m}}{\left(25\text{cm}\times \frac{1\text{m}}{100\text{cm}}\right)\left(\sin 90°\right)}\\ =145.83\text{N}\end{array}$

Thus, the force needed in perpendicular position of the wrench is $145.83\text{N}$ .