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ymond A. Serway, Chris Vuille - College Physics-Brooks Col... 51 / 1050 - 233% + 49 1. The period of a simple pendulum, defined as the time neces- sary for one complete oscillation, is measured in time units and is given by add 9. V wid nun e T= 2πT 80 10. QC cant ures 50 51 where { is the length of the pendulum and g is the accelera- tion due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.) 2. (a) Suppose the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? (b) A displacement is related to time as x = A sin (2πft), where A and fare constants. Find the dimensions of A. Hint: A trigonometric function appearing in an equation must be dimensionless. figu this answ 11. How 3.788 12. The s Expre (b) fi 13. A rect ± 0.1) rectan 52 23 104,652 2 AUG 31 17 O tv 5 2 NA X W

ymond A. Serway, Chris Vuille - College Physics-Brooks Col... 51 / 1050 - 233% + 49 1. The period of a simple pendulum, defined as the time neces- sary for one complete oscillation, is measured in time units and is given by add 9. V wid nun e T= 2πT 80 10. QC cant ures 50 51 where { is the length of the pendulum and g is the accelera- tion due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.) 2. (a) Suppose the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? (b) A displacement is related to time as x = A sin (2πft), where A and fare constants. Find the dimensions of A. Hint: A trigonometric function appearing in an equation must be dimensionless. figu this answ 11. How 3.788 12. The s Expre (b) fi 13. A rect ± 0.1) rectan 52 23 104,652 2 AUG 31 17 O tv 5 2 NA X W

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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ymond A. Serway, Chris Vuille - College Physics-Brooks Col... 51 / 1050 - 233% + 49 1. The period of a simple pendulum, defined as the time neces- sary for one complete oscillation, is measured in time units and is given by add 9. V wid nun e T= 2πT 80 10. QC cant ures 50 51 where { is the length of the pendulum and g is the accelera- tion due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.) 2. (a) Suppose the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? (b) A displacement is related to time as x = A sin (2πft), where A and fare constants. Find the dimensions of A. Hint: A trigonometric function appearing in an equation must be dimensionless. figu this answ 11. How 3.788 12. The s Expre (b) fi 13. A rect ± 0.1) rectan 52 23 104,652 2 AUG 31 17 O tv 5 2 NA X W
Transcribed Image Text:ymond A. Serway, Chris Vuille - College Physics-Brooks Col... 51 / 1050 - 233% + 49 1. The period of a simple pendulum, defined as the time neces- sary for one complete oscillation, is measured in time units and is given by add 9. V wid nun e T= 2πT 80 10. QC cant ures 50 51 where { is the length of the pendulum and g is the accelera- tion due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula using your keys at the end of a string and a stopwatch.) 2. (a) Suppose the displacement of an object is related to time according to the expression x = Bt². What are the dimensions of B? (b) A displacement is related to time as x = A sin (2πft), where A and fare constants. Find the dimensions of A. Hint: A trigonometric function appearing in an equation must be dimensionless. figu this answ 11. How 3.788 12. The s Expre (b) fi 13. A rect ± 0.1) rectan 52 23 104,652 2 AUG 31 17 O tv 5 2 NA X W
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