Rogan claims that he can run 8 miles per hour. Use the speed formula to determine how many minutes it would take him to run one
2 answers:
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Answer:
8717 meters.
Explanation:
We need to know the conversion factors. We know that:
1 mile = 1609.34 meters
1 yard = 0.9144 meters
This means that:
It is convenient to leave the units we want at the end in the numerator so the ones in the denominator cancel out with the ones we want to remove, as will be seen in the next step.
We will convert first the miles, then the yards, and add them up.
So total distance is the sum of these, 8717 meters.
Answer:
a) For P:
For Q:
b) For P:
for Q:
c) As the distance from the axis increases then speed increases too.
Explanation:
a) Assuming constant angular acceleration we can find the angular speed of the wheel dividing the angular displacement θ between time of rotation:
One rotation is 360 degrees or 2π radians, so θ=2π
Angular acceleration is at every point on the wheel, but speed (tangential speed) is different and depends on the position (R) respect the rotation axis, the equation that relates angular speed and speed is:
for P:
for Q:
b) Centripetal acceleration is:
for P:
for Q:
c) As seen on a) speed and distance from axis is because ω is constant the if R increases then v increases too.