A thin circular hoop is released from rest at the top of a plane inclined at 12.1 degrees above the horizontal. Assume perfect rolling takes place. How long does it take the hoop to roll 8.9 m down the plane surface? Express your answer in s, to at least one digit after the decimal point.

A thin circular hoop is released from rest at the top of a plane inclined at 12.1 degrees above the horizontal. Assume perfect rolling takes place. How long does it take the hoop to roll 8.9 m down the plane surface? Express your answer in s, to at least one digit after the decimal point.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 5STP

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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

Plz use g = 9.8 m/s²to find if needed

A thin circular hoop is released from rest at the top of a plane inclined at 12.1 degrees above the
horizontal. Assume perfect rolling takes place.
How long does it take the hoop to roll 8.9 m down the plane surface?
Express your answer in s, to at least one digit after the decimal point.

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