(a) Suppose that the displacement x of an object is related to time t according to the expression x = Bt2. What are the dimensions of B? O T?/L O L/L O UT O LT2 OLXT2 Use L to stand for the dimension of length, and T to stand for the dimension of time. What is the dimension of x? of t? Can you solve the equation for B? (b) Suppose the displacement x of another object is related to time t according to x = A sin(2nft), where A and fare constants. What are the dimensions of A? (Hint: A trigonometri function appearing in an equation must be dimensionless.) O T/L O LUT OL ****: O:L x T OT

(a) Suppose that the displacement x of an object is related to time t according to the expression x = Bt2. What are the dimensions of B? O T?/L O L/L O UT O LT2 OLXT2 Use L to stand for the dimension of length, and T to stand for the dimension of time. What is the dimension of x? of t? Can you solve the equation for B? (b) Suppose the displacement x of another object is related to time t according to x = A sin(2nft), where A and fare constants. What are the dimensions of A? (Hint: A trigonometri function appearing in an equation must be dimensionless.) O T/L O LUT OL ****: O:L x T OT

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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Question

(a) Suppose that the displacement x of an object is related to time t according to the expression x = Bt2. What are the dimensions of B?
T
O T/L
O L/L
O UT
O LT?
OLXT2
Use L to stand for the dimension of length, and T to stand for the dimension of time, What is the dimension of x? of t? Can you solve the equation for B?
(b) Suppose the displacement x of another object is related to time t according to x = A sin(2ft), where A and fare constants. What are the dimensions of A? (Hint:A trigonometric
function appearing in an equation must be dimensionless.)
O T/L
O LUT
OL
OL x T
OT

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