Monday, 16 June 2014 12:08

## D2-32: AIR TABLE - LINEAR AND ANGULAR ACCEL OF A DISC

• ID Code: D2-32
• Purpose: Illustrate the accelerating disc problem.
• Description:

A mass m is attached to a string hanging over a pulley (to left of post) and wound around a disk of mass M and radius R. This provides a force F = mg and a torque T = mgR, creating both linear acceleration a=F/M and angular acceleration a=T/I of the disk, where the moment of inertia of the disk I=MR^2/2, assuming that m is much smaller than M. The distance d and the rotation Q which the disk undergoes when released from rest can then be calculated: d=at^2/2=mgt^2/2M and Q=at^2/2=mgt^2/MR. Eliminating t, we obtain the relation between the linear and angular acceleration of the disc, which can easily be experimentally verified: Q=2d/R.

Note: The air table is only available in rooms 1410, 1412, and 0405 because it will not fit through a standard door.

• Availability: Available
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