Select your language

Suggested languages for you:
Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q.49

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 201

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

In an old-fashioned amusement park ride, passengers stand inside a-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 passengers are standing 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 in the range to and a kinetic coefficient in the range to A sign next to the entrance says “No children under allowed.” What is the minimum angular speed, in rpm, for which the ride is safe?

The minimum angular speed is

See the step by step solution

Step by Step Solution

Step 1: Given information

diameter of cylinder

mass

static coefficient of friction

kinetic coefficient of friction

Step 2: calculation of minimum angular speed

The force of static friction must be no lower than the weight of the person.

The normal force that cylinder wall applies to person is equal to the centripetal force and it is given by,

The friction force that keeps the person from sliding down is given by,

The weight of the person is given by

When the net force is zero, we got,

Use the lowest coefficient of static friction in the above equation , to get the minimum speed.

The minimum angular speed is given by,

Most popular questions for Physics Textbooks

Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.