A girl uses a spanner of length 20cm to tighten a nut. IF she pulls at right angles to the end of the spanner with a force of 50N, calculate the moment of her pull
50 N * .2 m = 10 Nm
To calculate the moment of the girl's pull, we need to multiply the force applied by the distance from the pivot point (end of the spanner) to the point where the force is applied. This distance is known as the lever arm.
In this case, the force applied is 50N and the length of the spanner is 20cm. To ensure consistent units, let's convert the length to meters:
Length of spanner = 20cm = 0.2m
Now we can calculate the moment:
Moment = Force × Lever Arm
Moment = 50N × 0.2m
Moment = 10 Nm
Therefore, the moment of the girl's pull is 10 Newton-meters (Nm).
moment =F×d
= 50×0.2m
=10Nm
To calculate the moment of the girl's pull, you need to multiply the force applied by the perpendicular distance between the line of action of the force and the pivot point. In this case, the pivot point would be the point where the spanner is in contact with the nut.
Given:
Force applied, F = 50N
Length of the spanner, L = 20cm = 0.2m
To find the perpendicular distance, you would take the length of the spanner and multiply it by the sine of 90 degrees (since the force is applied at a right angle to the spanner). In equation form, this would be:
Perpendicular distance, d = L * sin(90 degrees)
Calculating the perpendicular distance:
d = 0.2m * sin(90 degrees)
d = 0.2m * 1
d = 0.2m
Now that we have the perpendicular distance, we can calculate the moment of the girl's pull using the formula:
Moment = Force * Perpendicular distance
Calculating the moment:
Moment = 50N * 0.2m
Moment = 10 Nm
Therefore, the moment of the girl's pull is 10 Newton-meters (Nm).