After a long night of cramming for a test, your college room-mate hits his head forcefully against the wall of your room in desp
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Answer:
a. s = 0.96 m
b. s = 2.15 m
Explanation:
a.
The relationship between the linear displacement and the angular displacement is given as follows:
where,
s = linear distance covered = ?
r = radius of wheel = (6 in)(0.0254 m/1 in) = 0.1524 m
θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad
Therefore,
<u>s = 0.96 m</u>
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b.
Assuming, we have to find linear displacement here, as well:
where,
s = linear distance covered = ?
r = radius of wheel = (13.5 in)(0.0254 m/1 in) = 0.3429 m
θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π rad
Therefore,
<u>s = 2.15 m</u>
Answer:
0.3257 seconds
39.67 m/s
Explanation:
Speed = 263 km/h
Converting to m/s
Distance to travel = 23.8 m
Time = Distance / Speed
The time taken to go from one end of the court to the other is 0.3257 seconds
Time = 0.6 s
Speed = Distance / Time
The speed of the tennis ball is 39.67 m/s