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1.5. If a baseball player throws a ball a horizontal distance of 100 m in 4s at 30° latitude, by how much is it deflected laterally as a result of the rotation of the earth. Notes: The direction of throw is not specified. The same result will be obtained no matter the chosen direction, but the simplest equation manipulations are for a northward throw with a constant meridional speed v. The first step is always to write down the three components of the coriolis force and cross out the terms that are not needed (which will leave us with the useful/needed terms to solve the problem).

1.5. If a baseball player throws a ball a horizontal distance of 100 m in 4s at 30° latitude, by how much is it deflected laterally as a result of the rotation of the earth. Notes: The direction of throw is not specified. The same result will be obtained no matter the chosen direction, but the simplest equation manipulations are for a northward throw with a constant meridional speed v. The first step is always to write down the three components of the coriolis force and cross out the terms that are not needed (which will leave us with the useful/needed terms to solve the problem).

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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I could really use some assistance on part b,c,d,e,f
d. Integrate your equation (from zero to v and zero to t as integration limits). You should end up with an expression for u as a function of t. Slow e. 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. Write down your final equation. 1 f. NOW you can substitute all the proper values of omega, phi and t to obtain your zonal displacement. Is this an eastward or westward displacement? (the answer is x=1.46 cm)
Transcribed Image Text:d. Integrate your equation (from zero to v and zero to t as integration limits). You should end up with an expression for u as a function of t. Slow e. 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. Write down your final equation. 1 f. NOW you can substitute all the proper values of omega, phi and t to obtain your zonal displacement. Is this an eastward or westward displacement? (the answer is x=1.46 cm)
1.5.If a baseball player throws a ball a horizontal distance of 100 m in 4s at 30° latitude, by how much is it deflected laterally as a result of the rotation of the earth. Notes: The direction of throw is not specified. The same result will be obtained no matter the chosen direction, but the simplest equation manipulations are for a northward throw with a constant meridional speed v. The first step is always to write down the three components of the coriolis force and cross out the terms that are not needed (which will leave us with the useful/needed terms to solve the problem). a. Write down a list of the given and asked information. har dista 100 divcolod b. Write your available equations (in this case the three components of the coriolis acceleration du/dt, dv/dt, dw/dt. C. Cancel out the unnecessary terms in part b - do it right there (there is no vertical motion and we are not concerned with vertical accelerations, there is no initial zonal motion) and write down the useful equation.
Transcribed Image Text:1.5.If a baseball player throws a ball a horizontal distance of 100 m in 4s at 30° latitude, by how much is it deflected laterally as a result of the rotation of the earth. Notes: The direction of throw is not specified. The same result will be obtained no matter the chosen direction, but the simplest equation manipulations are for a northward throw with a constant meridional speed v. The first step is always to write down the three components of the coriolis force and cross out the terms that are not needed (which will leave us with the useful/needed terms to solve the problem). a. Write down a list of the given and asked information. har dista 100 divcolod b. Write your available equations (in this case the three components of the coriolis acceleration du/dt, dv/dt, dw/dt. C. Cancel out the unnecessary terms in part b - do it right there (there is no vertical motion and we are not concerned with vertical accelerations, there is no initial zonal motion) and write down the useful equation.
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