With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel

Question

With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has a radius of 0.310 m and weighs 34.0 N; it can turn on its axle with negligible friction. A man holds the wheel above his head with the axle vertical while he stands on a turntable that is free to rotate without friction; the wheel rotates clockwise, as seen from above, with an angular speed of 61.0 rad/s, and the turntable is initially at rest. The rotational inertia of wheel + man + turntable about the common axis of rotation is 2.50 kg m^2. The man's free hand suddenly stops the rotation of th wheel (relative to the turntable), (a) Determine the resulting angular speed of the system. (b) Is the direction of the rotation clockwise or counterclockwise Number Unit the tolerance is +/-5%

Explanation / Answer

moment of inertia of wheel, Ii = M*R^2

= (34/9.8)*0.31^2

= 0.333 kg.m^2

moment of inertia of whole system, If = 2.5 kg.m^2

wi = 61 rad/s

wf = ?

apply conservation of angular momentum

If*wf = Ii*wi

wf = Ii*wi/If

= 0.333*61/2.5

= 8.13 rad/s <<<<<<---------Answer

direction ; clockwsie

Related Questions

Navigate

• Browse (All)
• Browse W
• Subjects

---

---

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