Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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?

icon
Related questions
Question

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
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer