Question

The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 47 N⋅m . You plan to tighten the plugs by pulling on the end of a 25-cm-long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 115 ∘ with respect to the wrench shaft.
With what force must you pull?

Answer 1

Answer:

$F =207.44\ N$

Explanation:

given,

torque = 47 N m

length of wrench = 25 cm = 0.25 m

angle with respective = 115°

The torque on the wrench

$\tau = L \times F$

$\tau = L F sin\theta$

$47 = 0.25\times F sin 115^0$

$F = \dfrac{47}{0.25\times sin 115^0}$

$F =207.44\ N$

The required force is equal to $F =207.44\ N$

Answer 2

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. The value of pulling force will be 207.44 N.

What is force?

Force is defined as the push or pull applied to the body. Sometimes it is used to change the shape, size, and direction of the body. Force is defined as the product of mass and acceleration. Its unit is Newton.

The given data in the problem is ;

τ is the torque = 47 N m

l is length of wrench = 25 cm = 0.25 m

θ is the angle with wrench shaft  = 115°

F is the pulling force =?

The torque is an angular force given as the product of length and linear force.

τ=F×l

47=F×0.25

F=207.44 N

Hence the value of pulling force will be 207.44 N.

To learn more about the force refer to the link;

https://brainly.com/question/26115859