Concept explainers
Figure 10-20 is a graph of the
Figure 10-20 Question 1
To rank:
a) the tangential acceleration at given points a, b, c and d.
b) the radial acceleration at given points a, b, c and d.
Answer to Problem 1Q
Solution:
a) Ranking of tangential acceleration at given points is
b) Ranking of radial acceleration at given points is
Explanation of Solution
1) Concept:
From the slope of the graph we can rank the points according to the tangential acceleration. Then using the relation between radial acceleration and angular velocity we can rank the points according to the radial acceleration.
2) Formulae:
i)
ii)
3) Given:
i. Graph of angular velocity vs time for a disk rotating like a merry-go-round.
ii. Points a, b, c and d are on the rim of the rotating disk.
4) Calculations:
a) As we know the formula for tangential acceleration as
From the graph we can say that
So the ranking is as,
b) The formula for radial acceleration is,
The radius of the disk is same, so the radial acceleration depends on value of
Conclusion:
Observing the graph of angular velocity vs time we can find the radial and tangential acceleration of an object.
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Chapter 10 Solutions
FUND.OF PHYSICS (LOOSELEAF)-W/ACCESS
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