A car has mass m (this includes the mass of the wheels). The wheels have radius

Question

A car has mass m (this includes the mass of the wheels). The wheels have radius r, mass m_w, and moment of inertia I = km_{ m w}r^2. Assume that the axles apply the same torque tau to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force.

Now assume that the frictional force f is not at its maximum value. What is the relation between the torque tau applied to each wheel by the axles and the acceleration a of the car? Once you have the exact expression for the acceleration, make the approximation that the wheels are much lighter than the car as a whole.
Express your answer in terms of some or all of the variables m, r, tau and the magnitude of the acceleration due to gravity g.

Explanation / Answer

a=4torque/mr

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.