A bolt requires 15 Nm or torque to loosen it. How much force needs to be applied to a 20 cm long wrench to loosen the bolt? Assume the force is applied perpendicular to the handle of the wrench.
20 cm = .2 m
F (.2) = 15
F = 150/2 = 75 Nm
To determine the force required to loosen the bolt, we need to find the torque (moment) applied to the bolt and divide it by the length of the wrench handle. The formula for torque is:
Torque = Force × Distance
In this case, the torque required to loosen the bolt is given as 15 Nm (Newton-meters), and the length of the wrench handle is 20 cm (0.2 meters).
So, rearranging the formula, we have:
Force = Torque / Distance
Plugging in the known values, we can calculate the force required:
Force = 15 Nm / 0.2 m
Force = 75 N
Therefore, a force of 75 Newtons needs to be applied to the 20 cm long wrench to loosen the bolt.
To determine the force required to loosen the bolt, we can use the formula for torque:
Torque = Force × Distance
In this case, the torque required to loosen the bolt is 15 Nm, and the distance from the pivot point (center of rotation) to where the force is applied is 20 cm. Since the force is applied perpendicular to the handle, the distance is the effective length of the wrench.
Converting the distance to meters, we have:
Distance = 20 cm = 0.2 m
We can rearrange the formula to solve for force:
Force = Torque ÷ Distance
Plugging in the given values, we get:
Force = 15 Nm ÷ 0.2 m
Force = 75 N
Therefore, a force of 75 Newtons needs to be applied to the 20 cm long wrench to loosen the bolt.