The maximum height within a bowl using friction.

Thread starter w451208
Start date Jun 14, 2010
Tags

Friction Height Maximum Maximum height

In summary, the maximum height that can be achieved within a bowl using friction is determined by the shape and size of the bowl, the type of surface and material of the bowl, and the amount of friction present. Changing the shape of the bowl can affect the maximum height, with a wider and shallower bowl potentially allowing for a higher maximum height. The coefficient of friction also plays a crucial role, with a higher coefficient resulting in a higher maximum height. There is no specific formula for calculating the maximum height, as it is best determined through experimentation and observation.

Jun 14, 2010

w451208

An ant is trying to climb out of a semi spherical bowl that has a radius of 10cm. The static coefficient is .03. How high can the ant reach before it slides back down to the center of the bowl.

Physics news on Phys.org

Jun 15, 2010

K^2

Science Advisor

Try using [itex]tan(\theta)=\mu[/itex] with [itex]\theta[/itex] being angle of the surface from horizontal.

Related to The maximum height within a bowl using friction.

1. What is the maximum height that can be achieved within a bowl using friction?

The maximum height that can be achieved within a bowl using friction depends on several factors such as the shape and size of the bowl, the type of surface and material of the bowl, and the amount of friction present. In general, the maximum height will be limited by the angle of the bowl and the coefficient of friction between the object and the surface of the bowl.

2. How does friction affect the maximum height within a bowl?

Friction plays a crucial role in determining the maximum height within a bowl. The amount of friction between the object and the surface of the bowl will determine how high the object can climb before it slips or falls. Higher friction will allow for greater maximum height, while lower friction will limit the maximum height that can be achieved.

3. Can the maximum height within a bowl be increased by changing the shape of the bowl?

Yes, changing the shape of the bowl can affect the maximum height that can be achieved. A wider and shallower bowl will have a larger surface area, allowing for more friction and potentially increasing the maximum height. On the other hand, a narrower and deeper bowl may have less surface area, resulting in less friction and a lower maximum height.

4. What is the relationship between the coefficient of friction and the maximum height within a bowl?

The coefficient of friction is directly related to the maximum height that can be achieved within a bowl. A higher coefficient of friction will result in a higher maximum height, while a lower coefficient of friction will limit the maximum height. This is because a higher coefficient of friction means there is more resistance to motion, allowing the object to climb higher before slipping or falling.

5. Can the maximum height within a bowl be calculated using a specific formula?

There is no specific formula for calculating the maximum height within a bowl using friction as it depends on various factors as mentioned earlier. However, the general concept is that the maximum height will be limited by the angle of the bowl and the coefficient of friction. Experimentation and observation are the best ways to determine the maximum height within a specific bowl.