Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 1, Problem 3Q
To determine
The direction of the displacement of the tip of an hour hand on a wall clock as time changes from 12:00 to 6:00.
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A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m. Take the center of the
clock as the origin, and use a Cartesian coordinate system with the positive x axis pointing to 3 o'clock and the positive y
axis pointing to 12 o'clock. Find the displacements of the tip of each hand (that is, AÁ and AB) when the time advances
from 3:00 P.M. to 6:00 P.M. (À and B represent the tip of the hour hand and the tip of the minute hand, respectively.)
AÅ = 0.367
m
AB = 0
m
Let the +y direction be straight up and the +x direction be to the right. Recall the definition of displacement, and remember
that positions are vector quantities.
The minute hand on a watch is 2.00 [cm] in length. What is the magnitude of the displacement vector of the tip of the minute hand from 8:00 to 8:20 a.m.? A) less than 2.00 [cm]
B) from 2.00 [cm] to 2.60 [cm]
C) from 2.61 [cm] to 3.20 [cm]
D) from 3.21 [cm] to 3.80 [cm]
E) greater than 3.80 [cm]
The position of an object as a function of time is given by r = (3.2t + 1.5t2)i + (1.7t -2.0t2)jm, where t is time in seconds. What is the magnitude of the acceleration, and what is the direction of the acceleration (given in terms of theta, clockwise from the x axis).
Chapter 1 Solutions
Physics Fundamentals
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