# The work done by a force acting obliquely is given by the formula: $W=F\cos\theta\times s$. What will happen to the work done if the angle $\theta$ between the direction of force and motion of the body is increased gradually? Will it increase, decrease or remain constant?

The work done by a force acting obliquely is given by the formula:

$W=F\cos\theta\times s$

Here, $W\rightarrow$ work done

$F\rightarrow$force

$s\rightarrow$displacement

$\theta\rightarrow$angle between the direction of the force and the motion

Thus, The work done depends upon the force acting upon the body, displacement in body and the angle between the direction of the applied force and the motion.

Now Let us see the changes in $\theta$ below:

On plotting a graph between $\theta$ and $\cos\theta$, we can see that on increasing the value of $\theta$, the value of $\cos\theta$ decreases, becomes zero and then becomes negative after $\frac{\pi}{2}$.

Thus, On increasing the value of the angle between the directions of the applied force and the motion of the body, the work done will decrease.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

199 Views