12. Rotational Kinematics

Types of Acceleration in Rotation

12. Rotational Kinematics

Types of Acceleration in Rotation

Guided videos.

A large disc of radius 10 m initially at rest takes 200 full revolutions to reach 30 RPM. Calculate the total linear acceleration of a point at half way between the disc's center and its edge, once the disc reaches 30 RPM. (You may assume it continues accelerating past that point)

Has a video solution.

Multiple Choice

An object of negligible size moves in a circular path of radius 20 m with 90 RPM. Find its radial acceleration.

Has a video solution.

Multiple Choice

A person is spinning a baton in their hand. The baton goes from rest to rotating at 2.7 rotations per second in 2.0 seconds. What is the angular acceleration of the baton?

295

views

Multiple Choice

A certain carnival ride is spinning, and smoothly changes its motion from clockwise to counterclockwise, stopping only for an instant in the middle. In this instant, which of the following is correct?

211

views

Textbook Question

(III) An object of mass m is constrained to move in a circle of radius r. Its tangential acceleration as a function of time is given by a_tan = b + ct² , where b and c are constants. If v = v₀ at t = 0 , determine the tangential and radial components of the force, F_tan and F_R, acting on the object at any time t > 0 .

views

Has a video solution.

Textbook Question

You are driving your 1800 kg car at 25 m/s over a circular hill that has a radius of 150 m. A deer running across the road causes you to hit the brakes hard while right at the summit of the hill, and you start to skid. The coefficient of kinetic friction between your tires and the road is 0.75. What is the magnitude of your acceleration as you begin to slow?

1105

views

Has a video solution.

Textbook Question

A toy train rolls around a horizontal 1.0-m-diameter track. The coefficient of rolling friction is 0.10. How long does it take the train to stop if it's released with an angular speed of 30 rpm?

564

views

Has a video solution.

Textbook Question

A new car is tested on a 200-m-diameter track. If the car speeds up at a steady 1.5 m/s^2, how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration?

594

views

Has a video solution.

Textbook Question

A 500 g steel block rotates on a steel table while attached to a 1.2-m-long hollow tube as shown in FIGURE CP8.70. Compressed air fed through the tube and ejected from a nozzle on the back of the block exerts a thrust force of 4.0 N perpendicular to the tube. The maximum tension the tube can withstand without breaking is 50 N. If the block starts from rest, how many revolutions does it make before the tube breaks?

158

views

rank

Has a video solution.

Textbook Question

(II) For each of the cases described below, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.

(a) A car speeds up as it rounds a curve of constant radius.

views

Has a video solution.

Textbook Question

(II) For each of the cases described below, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.

(b) A car is going a constant 65 km/h as it rounds a curve of constant radius.

views

Has a video solution.

Textbook Question

(II) For each of the cases described below, sketch and label the total acceleration vector, the radial acceleration vector, and the tangential acceleration vector.

views

Has a video solution.

Showing 12 of 12 practice

My Channels

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing

12. Rotational Kinematics

Types of Acceleration in Rotation

Learn with Patrick

Learn with other creators

Practice this topic