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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

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

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter1: Units And Measurement
Section: Chapter Questions
Problem 33P: In SI units, speeds are measured in meters per second (m/s). But, depending on where you live,...
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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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