Question

A yo-yo has a rotational inertia of 900 g · cm2 and a mass of 100 g. Its axle radius is 3.2 mm, and its string is 120 cm long. The yo-yo rolls from rest down to the end of the string. (a) What is the magnitude of its linear acceleration? (b) How long does it take to reach the end of the string? As it reaches the end of the string, what are its (c) linear speed, (d) translational kinetic energy, (e) rotational kinetic energy, and (f) angular speed?

Answer 1

Hi,

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PART (a):

We know that, Magnitude of it's linear acceleration is given by,

PART (b):

We have,

Acceleration of the yo-yo,

Initial speed,

Displacement,

PART (c):

We know that, Linear speed is given by,

PART (d):

We know that, Translational Kinetic energy of the yo-yo is given by,

PART (e):

We know that, Rotational Kinetic energy of the yo-yo is given by,

PART (f):

We know that, Angular speed of the yo-yo is given by,

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