Jordan is trying to loosen a stuck bolt in his motor home. To loosen it ,he is using a wrench that is 60cm long. If he hangs from the wrench, what is max torque he can exert ? Jordan is 75kg
75 * g * 0.60
To calculate the torque that Jordan can exert, we need to use the formula:
Torque = Force × Distance
First, we need to determine the force that Jordan can exert. Since he is hanging from the wrench, he is essentially creating a torque by applying a force in the downward direction. This force can be calculated using Newton's second law:
Force = Mass × Acceleration
Given that Jordan's mass is 75 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force as:
Force = 75 kg × 9.8 m/s² = 735 N
Now we have the force. The next step is to determine the distance from the point where Jordan is hanging to the center of the bolt, which is the length of the wrench. In this case, the length of the wrench is given as 60 cm, which is equal to 0.6 meters.
Finally, we can calculate the torque:
Torque = Force × Distance = 735 N × 0.6 m = 441 Nm
Therefore, the maximum torque that Jordan can exert by hanging from the wrench is 441 Newton-meters.