QuestionA 56.0 cm long wrench is used to remove a lug nut from a car tire. If the torque needed to remove it is 107 Nm and you apply a force at the end of the wrench at an angle of , how much force should you apply?
738 N
198 N
111 N
191 N
Question 3
Studdy Solution
STEP 1
1. The wrench is used to apply torque to a lug nut.
2. The length of the wrench is cm.
3. The required torque to remove the lug nut is Nm.
4. The force is applied at the end of the wrench at an angle of .
STEP 2
1. Convert the length of the wrench from centimeters to meters.
2. Recall the formula for torque.
3. Rearrange the formula to solve for force.
4. Substitute the given values and calculate the force.
STEP 3
Convert the length of the wrench from centimeters to meters:
STEP 4
Recall the formula for torque ():
where is the length of the wrench, is the force applied, and is the angle between the force and the lever arm.
STEP 5
Rearrange the formula to solve for force ():
STEP 6
Substitute the given values into the formula and calculate the force:
Calculate :
Substitute this value:
The closest answer choice is:
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