problem like:Doc Al said:
Note that the angle given is not between F and d, but between F and the perpendicular to d. It's up to you to figure out the correct angle!Sculter said:
Again, the angle given is the angle of the stairs with the horizontal. What you need is the angle between the force (gravity) and the displacement.Sculter said:*a man of mass 70kg. goes upstaris of lenth 50m. calculate the work done if g=10m/s2
-answer W=Fd cosθ, 70x10x50 x cos30
Here they just give you the required angle, so you can just plug it in.Sculter said:
To use the work formula you need the angle between the force and the displacement. Sometimes you'll be given that angle directly; other times you'll have to figure out the correct angle to use.Sculter said:
You are welcome.Sculter said:
Start by drawing yourself a diagram. And use the properties of right triangles. (For example, the two angles of a right triangle are complementary. They add to 90 degrees.)Sculter said:
The equation for calculating work done is W = F * d * cosƟ, where W represents work, F represents force, d represents displacement, and Ɵ represents the angle between the force and displacement vectors.
The angle between force and displacement is measured using the cosine function. This can be done by taking the dot product of the force and displacement vectors and dividing it by the product of their magnitudes.
The angle between force and displacement determines the amount of work done. A smaller angle means more work is done because the force is acting more parallel to the displacement, while a larger angle means less work is done because the force is acting more perpendicular to the displacement.
Yes, the angle between force and displacement can be greater than 90 degrees. This would result in a negative value for work, indicating that the force is acting in the opposite direction of the displacement.
The angle between force and displacement affects the direction of work done by determining whether the work is positive or negative. A positive value for work indicates that the force and displacement are in the same direction, while a negative value indicates that they are in opposite directions.