Angular velocity, coin on spinning wheel

Click For Summary
To determine the maximum angular velocity of a turntable without a coin sliding off, the static friction coefficient of 0.810 is crucial. The centripetal force required to keep the coin in place is provided by the frictional force, which can be calculated using the formula involving mass, radius, and angular velocity. By setting the frictional force equal to the centripetal force, the maximum angular velocity can be derived. The solution involves substituting the known values of mass, radius (16.0 cm), and static friction coefficient into the equations. This approach ensures that the coin remains stationary relative to the turntable during its rotation.
racer98jc
Messages
6
Reaction score
0

Homework Statement



A 5.10 coin is placed 16.0 from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of = 0.810 and = 0.510.


What is the maximum angular velocity with which the turntable can spin without the coin sliding?

Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Please show an attempt.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Coin on a turntable problem in a noninertial frame
  • · Replies 12 ·
Replies
12
Views
2K
Motion in a plane II, Coin on a turntable with Vmax
  • · Replies 8 ·
Replies
8
Views
3K
System of two wheels of different sizes with an axle through their centers
  • · Replies 67 ·
3
Replies
67
Views
4K
Question regarding Rolling with and without Slipping and Sliding
  • · Replies 4 ·
Replies
4
Views
3K
An Angular Velocity Question
  • · Replies 2 ·
Replies
2
Views
3K
Calculating Final Angular Velocity of Turntable with Runner on a Horizontal Axis
  • · Replies 5 ·
Replies
5
Views
4K
Which Coin Flies Off First from a Speeding Turntable?
  • · Replies 2 ·
Replies
2
Views
3K
What is the relationship between angular momentum and angular velocity?
  • · Replies 2 ·
Replies
2
Views
2K
What is the maximum angular velocity for a coin on a turntable without sliding?
  • · Replies 1 ·
Replies
1
Views
2K
Maximizing Turntable Angular Velocity with Friction Coefficients
  • · Replies 4 ·
Replies
4
Views
5K