Posted by Kristen on Sunday, January 27, 2008 at 1:16pm.
A record turntable is rotating at 33 and 1/3 rev/min. A watermelon seed is on the turntable 7.5 from the axis of rotation
Calculate the acceleration of the seed assuming that it does not slip?
Suppose that the turntable achieves its angular speed by starting from rest and undergoing a constant angular acceleration for .75 seconds. Calculate the minimum coefficient of static friction required for the seed not to slip during the acceleration period?
- AP Physics - Damon, Sunday, January 27, 2008 at 2:23pm
I do not know if it is 7.5 nautical miles or what, so I will call the distance from the center r.
convert 33 1/3 rev/mi to radians/s
w = 33 1/3 rev/min *1 min/60 s *2 pi rad/rev
= 3.49 rad/s
a = w^2 r = 12.2 r
in units of length you are using/s^2
since I do not know your length unit I must leave g as g instead of 9.8 m/s^2 or 32 ft/s^2 or whatever
mu = friction coef
Now we also have a tangential friction problem because the table is accelerating
tangential acceleration = r*(change in w/change in time)
= r * ( 3.49 rad/s /.75 s)
= r * 4.65 length units/s^2
total acceleration = sqrt(tangenial^2 + radial^2)
= r sqrt (4.65^2 + 12.2^2)
= r sqrt (170)
= 13.0 r
Now friction force = m a
m g mu = m (13 r)
mu = 13 r/g
Answer This Question
More Related Questions
- Physics - A 6.80 g coin is placed 10.0 cm from the center of a turntable. The ...
- Physics - A 9.60 g coin is placed 10.7 cm from the center of a turntable. The ...
- College Physics - A 5.0 gram coin is placed 5.0 cm from the axis of a rotating ...
- Physics - A turntable of radius 2m rotates freely about a fixed vertical axis. A...
- Physics - A coin is placed 17.0 from the axis of a rotating turntable of ...
- mechanics - A turntable rotating at 78 rev/min slow down and stops in 32 second ...
- Physics - A coin is placed 11.0 cm from the axis of a rotating turntable of ...
- Physics - An object of mass 1.4kg is placed 12.0 cm from the axis of a rotating ...
- Physics - An object of mass 1.4kg is placed 11.5 cm from the axis of a rotating ...
- Physics-circular force - A coin is placed 11.0 cm from the axis of a rotating ...