Find the horizontal displacement due to the rotation of the earth if a body dropped from a fixed platform at a height (h) at the equator, neglecting the effects of air resistance. What is the displacement if h=5 km?
Find the horizontal displacement due to the rotation of the earth if a body dropped from a fixed platform at a height (h) at the equator, neglecting the effects of air resistance. What is the displacement if h=5 km?
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Find the horizontal displacement due to the rotation of the earth if a body dropped from a fixed platform at a height (h) at the equator, neglecting the effects of air resistance. What is the displacement if h=5 km?
I would appreciate help with c-g :)
![b. Write your available equations (in this case the three components of the
coriolis acceleration du/dt, dv/dt, dw/dt and the vertical acceleration due to
gravity as explained in the notes above)
to
bs
s iw du 2orsing-2Rwcosø
s ban x ot o9)
dt
d 2i sved ue A
nobioy
dv.
--22using
dt
%3D
dw
%3D
dt
hes for omega g and h and writdmethe
und.cwestward d plac
C. Cancel out the unnecessary terms in part b – do it right there (there are no
initial horizontal motions) and write down the useful equation.
dur](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52b54fcd-a89c-47a3-b95a-d48387f04fd3%2F0e6fdbd4-4d7c-452b-9b3a-4756ccb7f60d%2Fkoqvrts_processed.png&w=3840&q=75)
Transcribed Image Text:b. Write your available equations (in this case the three components of the
coriolis acceleration du/dt, dv/dt, dw/dt and the vertical acceleration due to
gravity as explained in the notes above)
to
bs
s iw du 2orsing-2Rwcosø
s ban x ot o9)
dt
d 2i sved ue A
nobioy
dv.
--22using
dt
%3D
dw
%3D
dt
hes for omega g and h and writdmethe
und.cwestward d plac
C. Cancel out the unnecessary terms in part b – do it right there (there are no
initial horizontal motions) and write down the useful equation.
dur
![out an expression for w in terms oft and g by integrating the vertical
acceleration equation (from zero to w an from zero to t).
Jon al
e. Substitute w in the coriolis equation (leftover in part c)
f.
Integrate your equation (zero to u and zero to t). You should end up with an
expression for u as a function of t.
om FAS e edns
g. But what you need is the displacement x, so you need to change u in terms of
x and integrate again (zero to x and zero to t). You should end up with an
expression for x as a function of t. This is not the end of the problem since
you don't have t. All you have is h.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F52b54fcd-a89c-47a3-b95a-d48387f04fd3%2F0e6fdbd4-4d7c-452b-9b3a-4756ccb7f60d%2Fsjhrh6_processed.png&w=3840&q=75)
Transcribed Image Text:out an expression for w in terms oft and g by integrating the vertical
acceleration equation (from zero to w an from zero to t).
Jon al
e. Substitute w in the coriolis equation (leftover in part c)
f.
Integrate your equation (zero to u and zero to t). You should end up with an
expression for u as a function of t.
om FAS e edns
g. But what you need is the displacement x, so you need to change u in terms of
x and integrate again (zero to x and zero to t). You should end up with an
expression for x as a function of t. This is not the end of the problem since
you don't have t. All you have is h.
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