Calculating Max. Distance of Block on Turntable Rotating at 33 1/3 rev/min

Thread starter JJ89
Start date Jun 29, 2010
Tags

Circular Circular motion Motion

In summary, the formula for calculating the maximum distance of a block on a turntable is: Max Distance = 2πr, where r is the radius of the turntable. The rotation speed of 33 1/3 rev/min is significant because it is the standard speed for vinyl records, making it applicable to determining the maximum distance a needle or stylus can travel without skipping or causing damage. The size and weight of the block can affect the maximum distance, as the radius is a crucial factor in the calculation. This formula can also be applied to other rotating objects, but may need to be modified for different shapes. Other factors that can affect the maximum distance include the surface of the turntable and the condition of the needle or

Jun 29, 2010

JJ89

The coefficient of friction between a certain brass block and a large revolving turntable is µ = 0.17. How far from the axis of rotation can the block be placed before it slides off the turntable if it is rotating at 33 1/3 rev/min?

i was wondering was this the equation to solve this question?
m ω^2 R <= µ m g

R <= µ g / ω^2

The Attempt at a Solution

Physics news on Phys.org

Jun 29, 2010

kuruman

Science Advisor

Homework Helper

Insights Author

Gold Member

2023 Award

Yes.

FAQ: Calculating Max. Distance of Block on Turntable Rotating at 33 1/3 rev/min

What is the formula for calculating the maximum distance of a block on a turntable rotating at 33 1/3 rev/min?

The formula for calculating the maximum distance of a block on a turntable is: Max Distance = 2πr, where r is the radius of the turntable.

What is the significance of the turntable's rotation speed of 33 1/3 rev/min?

The rotation speed of 33 1/3 rev/min is significant because it is the standard speed for vinyl records. This means that the calculation for maximum distance can be used to determine the maximum distance a needle or stylus can travel on a record player without skipping or causing damage.

Is the maximum distance of a block on a turntable affected by the size or weight of the block?

Yes, the maximum distance of a block on a turntable is affected by the size and weight of the block. This is because the radius of the turntable (r) is a crucial factor in the calculation. A larger or heavier block will have a larger radius, resulting in a greater maximum distance.

Can this calculation be applied to other types of rotating objects?

Yes, this calculation can be applied to other types of rotating objects as long as the rotation speed is known. However, the formula may need to be modified depending on the shape of the object.

Are there any other factors that could affect the maximum distance of a block on a turntable?

Yes, there are other factors that could affect the maximum distance of a block on a turntable, such as the surface of the turntable and the condition of the needle or stylus. A smooth and clean surface will allow for a smoother and longer travel distance, while a damaged or worn needle may cause skipping or decrease the maximum distance.