# Physics

posted by .

In an old fashioned amusement park ride, passengers stand inside a 5.0-m diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about the vertical axis. Then, the floor that the passengers are standing on suddenly drops away! If all goes well, the passengers will “stick” to the wall and not slide. Clothing has a static coefficient of friction against steel that ranges from 0.60 to 1.0 and a kinetic coefficient in the range of 0.4 to 0.7. A sign next to the ride says “No children under 30-kg allowed!” What is the minimum angular speed, in rpm, for which the ride is safe?

• Physics -

Not sure what speed is safe, because we do not control what clothing riders wear, and hence their coefficient of friction.

According to the data, assuming them to be accurate, you will need to have the friction to overcome the weight of the customers. Minimum coefficient of friction is μ=0.4 (kinetic), so you will need the centripetal acceleration to be g/0.4=2.5g for the poor screaming rider to be 'sustained' by the frictional force.

Centripetal acceleration is
a=2.5g=rω²
Solve for ω and convert to RPM.

Note:
1. Investigate the effect of 2.5g on the physiological functioning of the bladder.
2. A 10% slanting slope (wider near the top) to make the "cylinder" a truncated cone will help to keep the customer in his place, and gives him a chance to survive for an "encore".

• Physics -

52

## Similar Questions

1. ### Physics

The Wall of Death in an amusement park is comprised of a vertical cylinder that can spin around the vertical axis. Riders stand against the wall of the spinning cylinder and the floor falls away leaving the riders held up by friction. …
2. ### physics

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the …
3. ### physics

An amusement park ride consists of a large vertical cylinder that spins around its axis fast enough such that any person inside is held up against the wall when the floor drops away. The coefficient of static friction between person …
4. ### physics

An amusement park ride consists of a large vertical cylinder that spins about Figure P6.61 its axis fast enough such that any person inside is held up against the wall persons who walk around on the inner wall of the outer rim. Find …
5. ### Physics - 1

An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.65). The coefficient of static friction between …
6. ### AP Physics b

Design a carnival ride on which standing passengers are pressed against the inside curved wall of a rotating vertical cylinder. It is to turn at most at 1/7 revolution per second. Assuming a minimum coefficient of friction of 0.10 …
7. ### Physics

A popular amusement park ride looks like a huge cylinder of radius 3 m, where people stand up along the vertical walls on top of a floor which can drop away. The cylinder begins to rotate faster and faster, and when it reaches its …
8. ### Physics

In a certain amusement-park ride, riders stand with their backs against the wall of a spinning vertical cylinder. The floor falls away and the riders are held up by friction. If the radius of the cylinder is 4.2 m, find the minimum …
9. ### physics

Design a carnival ride on which standing passengers are pressed against the inside curved wall of a rotating vertical cylinder. It is to turn at most at 1/3 revolution per second. Assuming a minimum coefficient of friction of 0.70 …
10. ### PHYSICS

Design a carnival ride on which standing passengers are pressed against the inside curved wall of a rotating vertical cylinder. It is to turn at most at 1/3 revolution per second. Assuming a minimum coefficient of friction of 0.70 …

More Similar Questions