A ball is tied to a string and whirled in a horizontal circle at a constant 4 revolutions per second. Categorizethe following according to whether they are 0 in value, constant in value, or change:v: linear speed (scalar)v. linear velocity (vector)a: radial (centripetal) acceleration (scalar)a: radial (centripetal) acceleration (vector)u angular speed (scalar)w angular velocity (vector)a angular acceleration (scalar)a angular acceleration (vectorconstant and non-zeroconstant and 0non-constantradial acceleration (scalar)radial acceleration (vector)angular velocity (vector)linear velocityangular acceleration (vector)linear speedangular speedangular acceleration (scalar)

Given:A ball is moved in a horizontal circle with 4 revolutions per second.

Answered: A ball is tied to a string and whirled…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A circular track has several concentric rings where people can run at their leisure. Phil runs on the outermost track with radius rP while Annie runs on an inner track with radius rA = 0.70 rP. The runners start side by side, along a radial line, and run at the same speed in a counterclockwise direction. How many revolutions has Annie made when Annie's and Phil's velocity vectors point in opposite directions for the first time?
E. The centripetal acceleration of a particle moving in a circle is given by the formula a = s²/r where r is the radius and s is the speed of the particle. a) Consider a as a function of s and r. Compute the differential of a. b) Suppose that the particle is moving with speed 50cm/sec and the radius is 10cm. Use the differential to estimate the change in centripetal acceleration if the radius is changed to 9.80cm and the speed is changed to 51cm/sec. (Answ: 15) c) Suppose that the speed can be measured to within +3% and the radius can be measured to within +2%. Use the differential to approximate the maximum percent error in a. (Hint: The percent error in a quantity is the error in the quantity (da) divided by the quantity (a).) (Ans: 8%)
George swings a ball around him, in uniform circular motion. The circle's radius is r. George inadvertently releases the string, and the ball goes outward. He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr. Calculate the new rotation rate (in rev/s). r = 2.6 m Δr = 0.5 m Original rotation rate = ωi = 1.6 rev/s The ball's mass is m = 83 grams
An object is moving counterclockwise around a circular track at a constant speed of 3 m/s. The track is centered at the origin and has a radius of 1 m. What is the object's acceleration vector when it is at point P shown? y. P -(3플)i ○금3 + (3프) i a = +(9) i m Oa = 0 -(9플)i
In the movie Kill Bill the character Gogo Yubari fights with a meteor hammer, which is a bladed metal sphere on the end of a chain. Let’s assume Gogo is spinning the meteor hammer in a vertical spin, as shown below, with a radius of motion as 1 m. She spins the weapon at 18 m/s. Gogo then lets out more chain, increasing the radius to 1.62 m. What is the new velocity of her weapon?
A sprinter participating in the 200 m dash has to run around a track that has a circular arc with a radius of curvature of 26 m. She completes the 200 m dash in 22.8 seconds at constant speed throughout the race. a) What is the magnitude of her centripetal acceleration in m/s2 as she runs the curved portion of the track? b) What is the magnitude of her tangential acceleration in m/s2 as she runs the curved portion of the track? c) What is the magnitude of her angular acceleration in rad/s2 as she runs the curved portion of the track? d) What is the magnitude of her resultant linear acceleration in m/s2 as she runs the curved portion of the track?
A flywheel of 22 cm is rotating counterclockwise about an axle at an angular speed of 1950 rpm. What is the vector expression for the centripetal acceleration (in m/s²) of a point that is located at a distance 13.2 cm from the center along a ray that makes an angle 155 degrees with the horizontal? Answer x-component= 5.02 Response mismatch -Answer· y-component= -2.34 Response mismatch
Answer a and c
A child is holding a string with a ball tied at the end. The childspins around in a circle causing the ball to travel in uniformcircular motion. While doing this, the 1.3 m long string makesa 48.8◦angle below horizontal. What is the tangential speedof the ball? Solution provided is incorrect. Answer should be v=2.7m/s
A circular disk of radius 0.200 m rotates at a constant angular speed of 1.50 rev/s. What is the centripetal acceleration (in m/s^ 2 ) of point on the edge of the disk?
George swings a ball around him, in uniform circular motion. The circle's radius is r. George inadvertently releases the string, and the ball goes outward. He catches the string again, and now the ball goes around him at a new rotation rate, with a new radius r + Δr. Calculate the new rotation rate (in rev/s). r = 3.0 m Δr = 1.0 m Original rotation rate = ωi = 1.1 rev/s The ball's mass is m = 160 grams
Former prince Harry's child is riding on a dangerous, old-fashioned, playground merry-go-round which completes one revolution every 8.36 seconds. The boy is standing 4.65 m from the center of the merry-go-round. What is the magnitude of the centripetal acceleration of the child? a) 3.21 m/s^2 b) 1.78 m/s^2 c) 2.63 m/s^2 d) 2.04 m/s^2 e) 3.97 m/s^2

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