The driver of the car rotates the steering wheel, applying each hand to its rim a force, the modulus of which is 30 N
The driver of the car rotates the steering wheel, applying each hand to its rim a force, the modulus of which is 30 N. The steering wheel radius is 20 cm. Determine the maximum possible moment of forces acting on the steering wheel from the driver’s side in the following cases: a) the driver rotates the steering wheel with one hand ____ b ) the driver turns the steering wheel with both hands ___
F = 30 N.
R = 20 cm = 0.2 m.
M1 -?
M2 -?
The moment of the force M is the product of the force F and the radius R, connecting the point of application of the force with the axis of rotation.
M = F * R.
a) the driver rotates the steering wheel with one hand: M1 = F * R.
M1 = 30 N * 0.2 m = 6 N * m.
b) the driver rotates the steering wheel with both hands: M2 = M1 + M1 = 2 * M1 = 2 * F * R.
M2 = = 2 * 30 N * 0.2 m = 12 N * m.
Answer: a) M1 = 6 N * m, b) M2 = 12 N * m.