a
To Compare: The linear acceleration of trailer and truck.
a
Explanation of Solution
Given:
Diameter of trailer wheels,
Linear acceleration of truck,
Diameter of truck’s wheels,
Calculations:
As the truck is towing the trailer, they will have same in velocity per unit time i.e. they will have same linear acceleration.
Conclusion:
Thus, the linear acceleration of trailer and truck would be equal.
b
To Compare: The angular acceleration of trailer and truck.
b
Explanation of Solution
Given:
Diameter of trailer wheels,
Linear acceleration of truck,
Angular acceleration of truck,
Diameter of truck’s wheels,
Formula Used:
Angular acceleration can be obtained by:
Where, a is the linear acceleration and r is the radius.
Calculations:
The linear acceleration of truck and trailer are equal. Therefore, the ratio of angular acceleration of trailer can be calculated as follows:
Multiply numerator and denominator by 2.
Substitute the known values and solve:
Conclusion:
Thus, the angular acceleration of trailer is 1.46 times the angular acceleration of the truck.
Chapter 8 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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