BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 11, Problem 2IP
Identify the angular displacement, the angular velocity, and the angular acceleration of the second hand on a clock over the time interval in which it moves from the number 12 to the number 6. Provide answers in both degree- and radianbased units. (Answer: θ = −180°, −π rad; ω = −6 deg/s, −π/30 rad/s; α = 0)
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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
Based on the speculations of Nicole Oresme, and on the equation relating spatial distance, time, initial velocity, and constant acceleration developed by the Mertonian Calculators, how far would you expect a falling object to travel in 4 seconds (falling from a spaceship towards the Earth, in the vacuum of space), starting at 0 feet/second, with constant acceleration (32 feet/sec2), and neglecting possible air friction?
64 feet
144 feet
256 feet
400 feet
576 feet
Chapter 11 Solutions
BASIC BIOMECHANICS
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Ch. 11 - Explain how the velocity of the ball in Problem 4...Ch. 11 - A majorette in the Rose Bowl Parade tosses a baton...Ch. 11 - A cyclist enters a curve of 30-m radius at a speed...Ch. 11 - A hammer is being accelerated at 15 rad/s2. Given...Ch. 11 - A speed skater increases her speed from 10 m/s to...
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