Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 3, Problem 31P
Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius 2.50 m at a certain instant of time. For that instant, find (a) the radial acceleration of the particle, (b) the speed of the particle, and (c) its tangential acceleration.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A particle is moving in a circle of radius R. At t = 0, it is located on the x-axis. The angle the particle makes with the positive x
-axis is given by
0 = At² + Bt³
What is the magnitude of the tangential acceleration, atan of the particle at a time t > 0?
Express your answer in terms of R, t, A, and B as needed.
What is the magnitude of the radial acceleration, larad of the particle at a time t > 0?
Express your answer in terms of R, t, A, and B as needed.
a = 15.0 m/s²
4. The Figure represents the total acceleration of a particle
moving clockwise in a circle of radius 2.50 mat a certain instant
of time. For that instant, find (a) the radial acceleration of the
particle, (b) the speed of the particle, and (c) its tangential
acceleration
2.50 m
30.0°
A particle travels in a circular orbit of radius 10 m. Its speed is changing at a rate of 15.0 m/s2 at an instant when its speed is 40.0 m/s. What is the magnitude of the acceleration of the particle?
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 3.1 - Consider the following controls in an automobile...Ch. 3.3 - (i) As a projectile thrown upward moves in its...Ch. 3.3 - Rank the launch angles for the five paths in...Ch. 3.4 - Which of the following correctly describes the...Ch. 3.5 - A particle moves along a path, and its speed...Ch. 3 - In which of the following situations is the moving...Ch. 3 - A rubber stopper on the end of a string is swung...Ch. 3 - Figure OQ3.3 shows a birds-eye view of a car going...Ch. 3 - Entering his dorm room, a student tosses his book...Ch. 3 - Does a car moving around a circular track with...
Ch. 3 - An astronaut hits a golf ball on the Moon. Which...Ch. 3 - A projectile is launched on the Earth with a...Ch. 3 - A baseball is thrown from the outfield toward the...Ch. 3 - A student throws a heavy red ball horizontally...Ch. 3 - A sailor drops a wrench from the top of a...Ch. 3 - A set of keys on the end of a string is swung...Ch. 3 - Prob. 12OQCh. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - A projectile is launched at some angle to the...Ch. 3 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 3 - Prob. 2PCh. 3 - A particle initially located at the origin has an...Ch. 3 - It is not possible to see very small objects, such...Ch. 3 - A fish swimming in a horizontal plane has velocity...Ch. 3 - At t = 0, a particle moving in the xy plane with...Ch. 3 - Mayan kings and many school sports teams are named...Ch. 3 - The small archerfish (length 20 to 25 cm) lives in...Ch. 3 - Prob. 9PCh. 3 - Prob. 10PCh. 3 - Prob. 11PCh. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - Prob. 15PCh. 3 - A firefighter, a distance d from a burning...Ch. 3 - A soccer player kicks a rock horizontally off a...Ch. 3 - Prob. 18PCh. 3 - A student stands at the edge of a cliff and throws...Ch. 3 - Prob. 20PCh. 3 - A playground is on the flat roof of a city school,...Ch. 3 - Prob. 22PCh. 3 - Prob. 23PCh. 3 - Prob. 24PCh. 3 - As their booster rockets separate, Space Shuttle...Ch. 3 - Prob. 26PCh. 3 - The astronaut orbiting the Earth in Figure P3.27...Ch. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - A point on a rotating turntable 20.0 cm from the...Ch. 3 - Figure P3.31 represents the total acceleration of...Ch. 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 - A certain light truck can go around an unbanked...Ch. 3 - A landscape architect is planning an artificial...Ch. 3 - Why is the following situation impassible? A...Ch. 3 - An astronaut on the surface of the Moon fires a...Ch. 3 - The Vomit Comet. In microgravity astronaut...Ch. 3 - A projectile is fired up an incline (incline angle...Ch. 3 - A basketball player is standing on the floor 10.0...Ch. 3 - A truck loaded with cannonball watermelons stops...Ch. 3 - A ball on the end of a string is whirled around in...Ch. 3 - An outfielder throws a baseball to his catcher in...Ch. 3 - Prob. 51PCh. 3 - A skier leaves the ramp of a ski jump with a...Ch. 3 - A World War II bomber flies horizontally over...Ch. 3 - A ball is thrown with an initial speed vi at an...Ch. 3 - Prob. 55PCh. 3 - A person standing at the top of a hemispherical...Ch. 3 - An aging coyote cannot run fast enough to catch a...Ch. 3 - Prob. 58PCh. 3 - The water in a river flows uniformly at a constant...Ch. 3 - Prob. 61P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- A car initially traveling eastward turns north by traveling in a circular path at uniform speed as shown in Figure P7.15. The length of the arc ABC is 235 m, and the car completes the turn in 36.0 s. (a) Determine the cars speed. (b) What is the magnitude and direction of the acceleration when the car is at point B? Figure P7.15arrow_forwardA particle has a centripetal acceleration of ac = 7.47 m/s2. It is executing uniform circular motion and the shortest straight-line distance between the particle and the axis is r = 5.95 m. Part (a) Write an expression for the speed v of the particle. Part (b) What is the speed of the particle in m/s?arrow_forwardA 1.60 kg lead ball is tied to a rope and spun in a circular path of radius 1.20 m. The ball obtains a maximum speed of 12.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the ball?arrow_forward
- Suppose a fast-pitch softball player does a windmill pitch, moving her hand through a circular arc with her arm straight. She releases the ball at a speed of 26.4 m/s (about 59.1 mph). Just before the ball leaves her hand, the ball's radial acceleration is 290 m/s2. What is the length of her arm from the pivot point at her shoulder?arrow_forwardA particle moves along a circular path of radius 5 ft. If its position is 0 = (e0.5t) rad/s, where t is in seconds, determine the magnitude of the particle's acceleration when 0 = 90°.arrow_forwardA centripetal-acceleration addict rides in uniform circular motion with radius r=3.00m. At one instant his acceleration is a=(600m/s2)i^+(−4.00m/s2)j^. At that instant, what are the values of (a)v.a and (b)r.aarrow_forward
- A particle moves along a circular path having a radius of 2.0 m. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s², what is the magnitude of the total acceleration of the particle? 4.5 m/s² O 7.5 m/s² O 6.0 m/s² O 5.4 m/s² O 6.7 m/s²arrow_forwardA cat rides a merry-go-round turning with uniform circular motion. At time 1.4s, the cat's velocity is (5m/s)i + (10m/s) j. measured on a horizontal xy coordinate system. At 9.4s , the cat's velocity is (-5m/s)i + (-10m/s) j. What is the magnitude of the cat's centripetal acceleration?arrow_forwardA 2.40 kg granite stone is tied to a rope and spun in a circular path of radius 1.14 m. The stone obtains a maximum speed of 10.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the stone?arrow_forward
- For an object undergoing a uniform circular motion with radius 5.7 m and period 4.35 sec, the centripetal acceleration (m/s2) is:arrow_forwardA particle moves in the xy plane in a circle centered at the origin. At a certain instant the velocity and acceleration of the particle are 6.0i m / s and (3.0i + 4.0j) m / s2 respectively. What are the x and y coordinates of the particle at this time?arrow_forwardA particle travels clockwise around a circular path as shown below. The speed of the particle is given as a function of time, v(t) = (3 + t) m⁄sec where time is measured in seconds. The radius of the circle is 1 m. What is the magnitude of the acceleration of the particle at the time t = 2 sec?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY