Physics Fundamentals
2nd Edition
ISBN: 9780971313453
Author: Vincent P. Coletta
Publisher: PHYSICS CURRICULUM+INSTRUCT.INC.
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Chapter 3, Problem 21P
To determine
The acceleration of the runner
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5. A particle moves counterclockwise on a circular path of 400 ft radius. It starts from a
fixed point which is horizontally to the right of the center of the path and moves so that
s=1012 + 20t where s is the arc distance in feet and t is the time in sec. Compute the x and
y components of acceleration at the end of 3 sec.
An object moving at constant speed v around a circle of radius r has an acceleration a directed toward the center of the circle. The SI unit of acceleration is m/s2.
If the speed is increased 20.5%, by what percentage does the radial acceleration increase?
An object moving at constant speed v around a circle of radius rhas an acceleration a directed toward the center of the
circle. The SI unit of acceleration is m/s2.
If the speed is increased 16.5%, by what percentage does the radial acceleration increase?
Chapter 3 Solutions
Physics Fundamentals
Ch. 3 - Prob. 1QCh. 3 - Prob. 2QCh. 3 - Prob. 3QCh. 3 - Prob. 4QCh. 3 - Prob. 5QCh. 3 - Prob. 6QCh. 3 - Prob. 7QCh. 3 - Prob. 8QCh. 3 - Prob. 1PCh. 3 - Prob. 2P
Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - Prob. 7PCh. 3 - Prob. 8PCh. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - Prob. 16PCh. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - Prob. 19PCh. 3 - Prob. 20PCh. 3 - Prob. 21PCh. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 53PCh. 3 - Prob. 54PCh. 3 - Prob. 55P
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- A runner travels I.5 laps around a circular track in a time of 50 s. The diameter of the track is 40 m and its circumference is 126 m. Find (a) the average speed of the runner and (b) the magnitude of the runner's average velocity. Be careful here; average speed depends on the total distance traveled, whereas average velocity depends on the displacement at the end of the particular journey.arrow_forwardA boat has an initial speed of 19 ft/s. It then increases its speed along a circular path of radius ρ = 80 ft at the rate of v˙=(1.4s)ft/s^2, where s is in feet. Determine the time needed for the boat to travel s = 70 ft.arrow_forwardA group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' distance for the trip.arrow_forward
- An astronaut is rotated in a horizontal centrifuge at a radius of 5.6 m. How many revolutions per minute are required to produce if the centripetal acceleration has a magnitude of 5.3g? ( g is the gravitational acceleration, g=9.80 m/s2. Your result must include one digit after the decimal point. Maximum of 5% of error is accepted in your answer. Take π=3.14)arrow_forwardA particle moves in a curve path according to the law s = t^3 – 40t^2 + 8t + 100 where s is in meter and t is in sec. What is the normal component of acceleration of the particle if t = 5 seconds and the radius of the curve path is 10 meters?arrow_forwardThe truck travels along a circular road that has a radius of 50 m at a speed of 7 m/s . For a short distance when t = 0, its speed is then increased by a = (0.4t) m/s?, where t is in seconds.(Figure 1) How long does it take for the truck to reach 43.33 m ? It vec t = Determine the speed of the truck when has traveled 43.33 m Express your answer with the appropriate units. ? Value m/s Determine the magnitude of the truck's acceleration when has traveled 43.33 m 50 m Express your answer with the appropriate units. ? Value m/s a =arrow_forward
- A point moves on a circular path with its position from rest defined by s = t^3 + 5t, where s and t are measured in meters and seconds, respectively. The magnitude of the acceleration is 8.39 m/s^2 when t = 0.66s. What is the diameter of the path?The answer is 10.8 marrow_forwardA car P travels along a straight road with a constant speed v = 79 mi/hr. At the instant when the angle 0 = 69°, determine the values of r in ft/sec and 0 in deg/sec. Assume/= 130! Answers: r = 0 = i i 18 Ma V. ft/sec deg/secarrow_forwardMyla participated in a running competition. She ran around a circular track with a radius of 1.0 x 102 m. Myla completed the track after 2 minutes. If she had a constant speed, what was Myla’s average speed in the entire run? answer in "m·s", please.arrow_forward
- A car moves on a circular track of radius 142.41 meters and accelerates uniformly from a speed of 5.25 m / s to a speed of 21.63 m / s, in a time of 7.22 seconds. Determine the magnitude of the car's total acceleration when its speed is 13.6 m / s.arrow_forwardProblem 5. An object moves on a circular path such that its distance covered is given by the function: s=0.512 m+2f m. The ratio of the magnitudes of its accelerations at times t =2s and t2 =5s is 1:2. Find the radius of the circle.arrow_forwardA particle moves ccw on a circular path of 400 ft radius. It starts from a fixed point which is horizontally to the right of the center of the path and moves so that s = 10t2 + 20t where s is the arc distance in ft and t is the time in sec. Compute the x and y components of the acceleration at the end of 3 seconds.arrow_forward
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