A bolt requires tightening to a torque of 98 N-m. If a wrench is 28 cm long, what perpendicular force should be applied at its end?
.28 F = 98
To calculate the perpendicular force required to tighten the bolt, we can use the concept of torque. Torque is the product of the force applied and the lever arm length (distance from the force to the point of rotation). The formula for torque is:
Torque = Force × Lever arm length
In this case, the torque requirement is given as 98 N-m, and the length of the wrench (lever arm) is 28 cm. However, to use the formula, we need to convert the lever arm length to meters. Since 1 meter is equal to 100 centimeters, we divide 28 cm by 100 to convert it to meters:
Lever arm length = 28 cm ÷ 100 = 0.28 meters
Now we can rearrange the formula to solve for the force:
Force = Torque ÷ Lever arm length
Force = 98 N-m ÷ 0.28 meters
Calculating this expression, we get:
Force ≈ 350 N
Therefore, to tighten the bolt to a torque of 98 N-m using a wrench with a length of 28 cm, a perpendicular force of approximately 350 N should be applied at the end of the wrench.