BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 11, Problem 8AP
A cyclist enters a curve of 30-m radius at a speed of 12 m/s. As the brakes are applied, speed is decreased at a constant rate of 0.5 m/s2. What are the magnitudes of the cyclist’s radial and tangential accelerations when his speed is 10 m/s? (Answer: ar = 3.33 m/s2; at = −0.5 m/s2)
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The “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as:
density = weight/volume
(m1)(v1) = (m2)(v2)
C. (vm) = 1/2 (v0 + vf)
s = (v0)(t) + 1/2 (a)(t2)
velocity = distance/time
Using the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 80 km/hour (final speed) over a 5-minute period of time.
average velocity over 5 minutes = 16 kilometers/hour
average velocity over 5 minutes = 20 kilometers/hour
average velocity over 5 minutes = 24 kilometers/hour
average velocity over 5 minutes = 32 kilometers/hour
average velocity over 5 minutes = 40 kilometers/hour
Chapter 11 Solutions
BASIC BIOMECHANICS
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