A yo-yo with a mass of 0.0650 kg and a rolling radius of r = 2.90 cm rolls down a string with a linear acceleration of 6.10 m/s². Calculate the tension magnitude T in the string and the angular acceleration magnitude a of the yo-yo. T = N a = rad/s? What is the moment of inertia I of this yo-yo? I = kg-m?

A yo-yo with a mass of 0.0650 kg and a rolling radius of r = 2.90 cm rolls down a string with a linear acceleration of 6.10 m/s². Calculate the tension magnitude T in the string and the angular acceleration magnitude a of the yo-yo. T = N a = rad/s? What is the moment of inertia I of this yo-yo? I = kg-m?

University Physics Volume 1

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Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 110AP: With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A yo-yo with a mass of 0.0650 kg and a rolling radius of
r = 2.90 cm rolls down a string with a linear acceleration
of 6.10 m/s².
Calculate the tension magnitude T in the string and the
angular acceleration magnitude a of the yo-yo.
T =
N
a =
rad/s?
What is the moment of inertia I of this yo-yo?
I =
kg-m?

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