What is amount of Work Done if force ʽF makes an angle of ʽQ and covers a distance ʽdʼ?(
Answers
Work
Step-by-step explanation:
1) Work is calculated by multiplying the force by the amount of movement of an object.
So W = F * d. Unit of work is N-m or Joules.
2) Now, if the force acts at an angle, say for example 30 degrees as shown in the figure, work is calculated as follows:
It is shown that the displacement is rightward and force is 30 degrees above the horizontal. So the angle between F and d is 30 degrees.
Formula to calculate work in this case is:
W = F * d * Cos θ
= (100 N) * (5 m) * cos(30 degrees)
= 433 J
Given:
The magnitude of force = F
The angle, θ = Q
The distance travelled = d
To Find:
The amount of Work Done.
Calculation:
- The amount of work done is given by the dot product of force and the distance travelled.
⇒ Work done = F . d
⇒ W = F d cos θ
- As θ = Q, we get: