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Let's assume your height is 59". If we convert this to meters (which can quickly be done with a Google search if you don't have the conversion factor conveniently at hand), we find our height as h = 1.75 m Equation (3) on the previous page allows us to find the radius of the Earth based on someone's height and the angle which the Earth rotates in a certain amount of time. Since we know the radius of the Earth (6.378 x106 m), we can rearrange this equation and solve for the angle 0. There are a few steps to solve this, and the finalresult is R/h 0 = cos-1 | 1+ R/ * ) (4) Since we know both R and h, we can solve for 0. This value for 0 can be used in equation (2). Below, is equation (2) solved for the time (in hours) that would elapse. 24 hours+0 T (5) 360° However, this gives our estimate in hours. To convert to second, just multiply your answer in equation (5) by 3600 (that's the number of seconds in one hour). 60 min 60 seconds 3600 seconds 1 hour = 1 hour 1 minute 1 hour To reiterate the sample calculation process, enter the value for R (6.378 x106 m) and h (1.75 m) into equation (4) and solve for 0. Put this value in equation (5) and solve for T. Finally, multiply your value for T by 3600 seconds. Sample Calculation Sample Calculation Estimate Estimate

Let's assume your height is 59". If we convert this to meters (which can quickly be done with a Google search if you don't have the conversion factor conveniently at hand), we find our height as h = 1.75 m Equation (3) on the previous page allows us to find the radius of the Earth based on someone's height and the angle which the Earth rotates in a certain amount of time. Since we know the radius of the Earth (6.378 x106 m), we can rearrange this equation and solve for the angle 0. There are a few steps to solve this, and the finalresult is R/h 0 = cos-1 | 1+ R/ * ) (4) Since we know both R and h, we can solve for 0. This value for 0 can be used in equation (2). Below, is equation (2) solved for the time (in hours) that would elapse. 24 hours+0 T (5) 360° However, this gives our estimate in hours. To convert to second, just multiply your answer in equation (5) by 3600 (that's the number of seconds in one hour). 60 min 60 seconds 3600 seconds 1 hour = 1 hour 1 minute 1 hour To reiterate the sample calculation process, enter the value for R (6.378 x106 m) and h (1.75 m) into equation (4) and solve for 0. Put this value in equation (5) and solve for T. Finally, multiply your value for T by 3600 seconds. Sample Calculation Sample Calculation Estimate Estimate

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Let's assume your height is 5'9". If we convert this to meters (which can quickly be done with a Google search if you don't have the conversion factor conveniently at hand), we find our height as h = 1.75 m Equation (3) on the previous page allows us to find the radius of the Earth based on someone's height and the angle which the Earth rotates in a certain amount of time. Since we know the radius of the Earth (6.378 x106 m), we can rearrange this equation and solve for the angle 0. There are a few steps to solve this, and the final result is R/h 0 = cos-1 1+ R/h. (4) Since we know both R and h, we can solve for 0. This value for 0 can be used in equation (2). Below, is equation (2) solved for the time (in hours) that would elapse. 24 hours+e T = (5) 360° However, this gives our estimate in hours. To convert to second, just multiply your answer in equation (5) by 3600 (that's the number of seconds in one hour). 60 min 60 seconds 3600 seconds 1 minute To reiterate the sample calculation process, enter the value for R (6.378 x106 m) and h (1.75 m) into equation (4) and solve for 0. Put this value in equation (5) and solve for T. Finally, multiply your 1 hour = 1 hour 1 hour value for T by 3600 seconds. Sample Calculation Sample Calculation Estimate Estimate
Transcribed Image Text:Let's assume your height is 5'9". If we convert this to meters (which can quickly be done with a Google search if you don't have the conversion factor conveniently at hand), we find our height as h = 1.75 m Equation (3) on the previous page allows us to find the radius of the Earth based on someone's height and the angle which the Earth rotates in a certain amount of time. Since we know the radius of the Earth (6.378 x106 m), we can rearrange this equation and solve for the angle 0. There are a few steps to solve this, and the final result is R/h 0 = cos-1 1+ R/h. (4) Since we know both R and h, we can solve for 0. This value for 0 can be used in equation (2). Below, is equation (2) solved for the time (in hours) that would elapse. 24 hours+e T = (5) 360° However, this gives our estimate in hours. To convert to second, just multiply your answer in equation (5) by 3600 (that's the number of seconds in one hour). 60 min 60 seconds 3600 seconds 1 minute To reiterate the sample calculation process, enter the value for R (6.378 x106 m) and h (1.75 m) into equation (4) and solve for 0. Put this value in equation (5) and solve for T. Finally, multiply your 1 hour = 1 hour 1 hour value for T by 3600 seconds. Sample Calculation Sample Calculation Estimate Estimate
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