(a)
The time taken by light to travel the distance to the mountain and back.
(a)
Answer to Problem 105A
Explanation of Solution
Given:
The distance between the rotating mirror and the mountain is
Formula used:
The time taken by light to travel the distance to the mountain and back can be calculated by using the formula,
Where,
Calculation:
Since light has to travel from rotating mirror to mountain and reflects from the mirror in the mountain back to the rotating mirror. Therefore the distance travelled by the mirror is
Substituting the numerical values in equation
Conclusion:
The time taken by light to travel the distance to the mountain and back is
(b)
The rotating speed of the mirror.
(b)
Answer to Problem 105A
Explanation of Solution
Given:
Rotating octagon has mirror on each face. Octagon has
Formula used:
The period of revolution can be calculated by,
Where, the time taken by light to travel the distance to the mountain and back.
The speed of revolution (frequency of revolution) can be calculated using the equation,
Calculation:
From part (a),
Substituting the numerical values in equation
Substituting the value of
Conclusion:
The rotating speed of the mirror is
(c)
The approximate
(c)
Answer to Problem 105A
Explanation of Solution
Given:
Mass of each mirror is
The radius of the circle through which the mirrors rotate is
Formula used:
The centripetal force can be calculated using the equation,
Where,
Calculation:
Substituting the numerical values in equation
Conclusion:
The approximate centripetal force needed to hold the mirrors when it is rotating is
Chapter 21 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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