Posted by **kwaku** on Friday, December 3, 2010 at 3:38pm.

A wheel is roatating freely at an angular speed of 800 rev/min on a Shaft of negligible moment of inertia. A second wheel initially at rest and with twice the moment of inertia of the first, is suddenly coupled to the same shaft. (a) what is the angular speed of the resultant combination of the shaft and two wheels? (b) What fraction of the original rotational kinetic energy is lost? Treat the wheels as hoops in your analysis

- physics -
**drwls**, Friday, December 3, 2010 at 9:56pm
Angular momentum will conserved, and the total moment of inertia (I) is tripled. Since angular momentum is I*w, the angular spped w must be reduced to 1/3 of the original value.

With w reduced to 1/3 of the original and I tripled, the kinetic energy (1/2) I w^2 will be reduced to 1/3 the former value.

## Answer This Question

## Related Questions

- physics - A wheel is roatating freely at an angular speed of 800 rev/min on a ...
- Physics - A wheel is rotating freely with an angular speed of 4840rad/s on a ...
- Physics - A cord is wrapped around the rim of a wheel .250 m in radius, and a ...
- physics - 3- An electric motor can accelerate a Ferris wheel of moment of ...
- physics - A wheel rotates without friction about a stationary horizontal axis at...
- physics - A large wooden wheel of radius R and the moment of inertia I is ...
- Physics - I've been stuck on this problem for a while. Im not sure where to even...
- physics - A potter's wheel having a radius 0.45 m and a moment of inertia of 14....
- physics - (a) Calculate the angular momentum of an ice skater spinning at 6.00 ...
- Physics - . (a) Calculate the angular momentum of an ice skater spinning at 6.00...

More Related Questions