The bolts on the cylinder head of an engine require tightening to a torque of 63 . If the six-sided bolt head is 15 in diameter, estimate the force applied near each of the six points by a socket wrench.
To estimate the force applied near each of the six points by a socket wrench, we need to use the formula for torque:
Torque = Force x Distance
Given:
- Torque = 63 Nm
- Bolt head diameter = 15 mm
To calculate the force applied at each of the six points, we need to find the distance from the center of the bolt head to one of the six points.
1. Find the radius of the bolt head:
Radius = Diameter / 2 = 15 mm / 2 = 7.5 mm
2. Convert the radius to meters:
Radius = 7.5 mm = 7.5 mm / 1000 = 0.0075 m
3. The distance from the center to one of the six points is the same as the radius. So, the distance is 0.0075 m.
4. Rearrange the torque formula to solve for force:
Force = Torque / Distance
Force = 63 Nm / 0.0075 m
Force ≈ 8400 N
Therefore, the force applied near each of the six points by a socket wrench is approximately 8400 Newtons.