The winning time for a 500.0 mile circular race track was 3 hours and
1 answer:
Explanation:
We have,
Distance traveled in a circular track is 500 miles
The winning time was 3 hours and 13 minutes. It means time is 3.217 hours.
The driver's average speed is given by total distance divided by total time taken. Its formula can be written as :
At the end of the race, the driver reaches the point form where he has started. It means the displacement of the driver is equal to 0. Hence, driver's average velocity is equal to 0.
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(a) 5.66 m/s
The flow rate of the water in the pipe is given by
where
Q is the flow rate
A is the cross-sectional area of the pipe
v is the speed of the water
Here we have
the radius of the pipe is
r = 0.260 m
So the cross-sectional area is
So we can re-arrange the equation to find the speed of the water:
(b) 0.326 m
The flow rate along the pipe is conserved, so we can write:
where we have
and where is the cross-sectional area of the pipe at the second point.
Solving for A2,
And finally we can find the radius of the pipe at that point: