A runner runs 4875 ft in 6.85 minutes. what is the runners average speed in miles per hour?
2 answers:
<u>Answer</u>:
Speed of the runner is 8.08 miles per hour approximately.
<u>Explanation</u>:
Given:
A runner runs =4875 ft
Time Taken = 6.85 minutes.
To Find:
Average speed of the runner in miles per hour=?
Solution:
Distance = Speed x time
Conveting feet into miles:
=>Distance= miles
=>Distance = 0.9232955 miles
Converting minutes into hours:
time = 6.85 minutes
=> hours
=> = 0.1141667 hours.
Now, we know that, distance = speed x time
Then, 0.9232955 miles = speed x 0.1141667 hours
=>speed =
=>speed = 8.08725749
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Answer:
<em>Angular displacement=68.25 rad</em>
Explanation:
<u>Circular Motion</u>
If the angular speed varies from ωo to ωf in a time t, then the angular acceleration is given by:
The angular displacement is given by:
The wheel decelerates from ωo=13.5 rad/s to ωf=6 rad/s in t=7 s, thus:
Thus, the angular displacement is:
Angular displacement=68.25 rad
The free-body diagram is missing, but I assume the only forces acting on the box are the force F pushing the box, the weight of the object and the normal reaction of the surface.
Since the weight and the normal reaction acts in the vertical (y) direction, the only force acting on the box in the horizontal (x) direction is the horizontal component of the force F, which is given by
And so this is the net force in the x-direction.
Since the weight and the normal reaction acts in the vertical (y) direction, the only force acting on the box in the horizontal (x) direction is the horizontal component of the force F, which is given by
And so this is the net force in the x-direction.