A hiker is located on top of Mt. Everest which is at 8, 848 m from sea level. Assuming that the average radius of the Earth from the center to its surface is approximately 6.4 x106 m, find the centripetal acceleration of the hiker with respect to its rotational axis.

A hiker is located on top of Mt. Everest which is at 8, 848 m from sea level. Assuming that the average radius of the Earth from the center to its surface is approximately 6.4 x106 m, find the centripetal acceleration of the hiker with respect to its rotational axis.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 25P: As their booster rockets separate, Space Shuttle astronauts typically feel accelerations up to 3g,...

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Question

Please be detailed with the solution, step by step and I aslo attached the formulas that be needed to solve the problem. Thank you.

Formulas:
v2
ac
Where: a, is centripetal acceleration
v is velocity
r is radius
a = |dv/dt|
Where: a, is tangential acceleration
d is distance covered
v is linear velocity
t is time taken
atotal = a, + a
a,2 + a42
or
atotal
Where: atotal is total acceleration
a, is radial acceleration
aț is tangential acceleration
2(2n r)
V =
Where: v is velocity
r is radius
s is time

A hiker is located on top of Mt. Everest which is at 8, 848 m from sea level.
Assuming that the average radius of the Earth from the center to its surface is
approximately 6.4 x10€ m, find the centripetal acceleration of the hiker with
respect to its rotational axis.
A child sits on a carousel at a distance of 5.0 m from the center in Kasadya
Amusement Park, South Reclamation, Cebu City. If the carousel makes 10
revolutions in 25.0 s, find the (a) tangential velocity and (b) centripetal
acceleration of the child.
A 60-kg sprinter makes a turn on the circular track. The sprinter sweeps out a
path of a circle with a radius of 12 m. The sprinter makes a quarter of a turn
around the circle in 2.1 seconds. Find the velocity and acceleration of the
runner.

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