466-fricton*radius=momentinertia*acceleration
but acceleration is zero, so
466=friction*radius.
but acceleration is zero, so
466=friction*radius.
The torque can also be expressed as the product of the force and the distance from the point of application of the force (radius of the wheel). Mathematically, we can write:
Torque = Force x Radius
Rearranging the equation, we can solve for the force:
Force = Torque / Radius
Substituting the given values, we have:
Force = 466 N·m / 0.390 m
Calculating this expression, we find:
Force ≈ 1194.87 N
Therefore, the magnitude of the static frictional force applied by the road is approximately 1194.87 N.
Torque = Force * Radius
In this case, the torque applied to the wheel is 466 N·m, and the radius of the wheel is 0.390 m.
Thus, we have:
466 N·m = Force * 0.390 m
To find the force, we need to rearrange the equation:
Force = Torque / Radius
Substituting the known values:
Force = 466 N·m / 0.390 m
Now we can calculate the force:
Force = 1194.87 N
Therefore, the magnitude of the static frictional force is approximately 1194.87 N.