BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 11, Problem 10IP
A tennis racquet swung with an angular velocity of 12 rad/s strikes a motionless ball at a distance of 0.5 m from the axis of rotation. What is the linear velocity of the racquet at the point of contact with the ball? (Answer: 6 m/s)
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The “mean-speed theorem” for finding average velocity under constant acceleration, proposed by the Oxford Calculators, and demonstrated geometrically by Nicole Oresme, is expressed algebraically as:
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Chapter 11 Solutions
BASIC BIOMECHANICS
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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/timearrow_forwardplease provide an example to solve for Velocity using the Michaelis-Menten Equation ?arrow_forwardAn airplane flying directly eastward at a constant speed travels 293 km in 2.0 h. (a) what is the average velocity of the plane? (b) what is the instantaneous velocity?arrow_forward
- 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/hourarrow_forwardConsider your loved one* who comes close to you! Calculate the attractive forces between your bodies if you keep a covid safety distance of 1.5 m. At which angular velocity could you spin about a common center such that the centrifugal forces don’t drive you away from each other? What is the maximum force if the distance was zero? *could be real or just an imaginary person/pet / objectarrow_forwardWhat is the relationship between Net force, mass and acceleration. Newton’s second law of motion?arrow_forward
- In terms of mass and acceleration, what is the equation for force?arrow_forwardPotential energy is increased by increasing the height (increasing the gravitational potential ) and /or increasing the Mass kinetic energy is increased by ?arrow_forwardBased 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 feetarrow_forward
- A study was done to find if different tire treads affect the braking distance of a car. What is the independant and dependant variable and constant of the sanario?arrow_forward1-Using the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 90 km/hour (final speed) over a 5 minute period of time. A. average velocity over 5 minutes = 45 kilometers/hour average velocity over 5 minutes = 30 kilometers/hour average velocity over 5 minutes = 18 kilometers/hour average velocity over 5 minutes = 15 kilometers/hour average velocity over 5 minutes = 12 kilometers/hourarrow_forwardNow, the bears I live with average, the males, eight to twelve hundred pounds [360 to 540 kg]. They're the largest bears in the world. They've been clocked at 41 [mph] and they've run a hundred meter dash in 5.85 seconds, which a human on steroids doesn't even approach. 1. Compute the speed of a grizzly bear using Mr. Treadwell's hundred meter dash statement. 2. Compute the momentum of a grizzly bear using the speed you calculated in part 1 and the average mass of 450kg. 3. How fast would a 250 lb man have to run to have the same momentum you calculated in part 2? (You may have to convert units first). 4. How fast would a 4000 lb car have to drive to have the same momentum you calculated in part 2? (You may have to convert units first)arrow_forward
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