Question

A 30 cm wrench is used to loosen a bolt with a force applied 0.30 mm from the bolt. It takes 60 N to loosen the bolt when the force is applied perpendicular to the wrench. How much force would it take if the force was applied at a 30 degree angle from perpendicular?

Answer 1

The applied force is 69.28 N.

Step-by-step explanation:

Given that,

Distance = 30 cm

Force = 60 N

Distance = 0.30 m

We need to calculate the torque to loosen the bolt

Using formula of torque

`\tau=F* d`

Where, F = force

d = distance

Put the value into the formula

`\tau=60*0.30`

`\tau=18\ N-m`

We need to calculate the force

To get the same torque with a force applied at 30 degree

Using formula of torque again

`18=F*0.30*\cos30^(\circ)`

`F=(18)/(0.30*\cos30^(\circ))`

`F=69.28\ N`

Hence, The applied force is 69.28 N.