(a) Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B?O L²/LTOLX T²O T²/LOL/TO L/T²(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.)OL/TOLX TO T/LOLT

Given data: The expression for the displacement x = Bt2 Required: The dimensions of B

(a) Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B? O L²/L ✓L T OLX T² O T²/L O L/T O L/T² (b) A displacement is related to time as x = A sin(2лft), where A and fare constants. Find the dimensions of A. (Hint: A trigonometric function appearing in an equation must be dimensionless.) OL/T OLXT O T/L OL OT

(a) Suppose that the displacement of an object is related to time according to the expression x = Bt2. What are the dimensions of B? O L²/L ✓L T OLX T² O T²/L O L/T O L/T² (b) A displacement is related to time as x = A sin(2лft), where A and fare constants. Find the dimensions of A. (Hint: A trigonometric function appearing in an equation must be dimensionless.) OL/T OLXT O T/L OL OT

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 52P: Consider the physical quantities m,s,v,a, and t with dimensions [m]=M,[s]=L,[v]=LT1 and [a]=LT2 ....

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