Chapter 10, Problem 55A

To determine

Distance of pushed roller.

Answer to Problem 55A

Distance travelled by roller is $d=54.72\text{m}$

Explanation of Solution

Given:

Force applied on roller is $F=115\text{N}$

Angle of handle with horizontal is $\theta ={22.5}^o$

Power developed is $P=64.6\text{W}$

Time is $t=90\text{s}$

Formula used:

Power is given as:

  $P=\frac{W}{t}=\frac{Fd\cos \theta }{t}$     ……  (1)

Calculation:

From (1)

  $d=\frac{Pt}{F\cos \theta }$

Putting the given values

  $\begin{array}{l}d=\frac{64.6\times 90}{115\times \cos {22.5}^o}\\ =54.72\text{m}\end{array}$