A bicycle slows down uniformly from Vo = 8.4 m/s to rest over a distance of 115 m. Each wheel and tire have an overall diameter of 68.0 cm. Determine: 4. the angular velocity of the wheels at the initial instant 5. the total number of revolutions each wheel rotates before coming to rest 6. the angular acceleration of the wheel 7. the time it took the bicycle to come to a stop

A bicycle slows down uniformly from Vo = 8.4 m/s to rest over a distance of 115 m. Each wheel and tire have an overall diameter of 68.0 cm. Determine: 4. the angular velocity of the wheels at the initial instant 5. the total number of revolutions each wheel rotates before coming to rest 6. the angular acceleration of the wheel 7. the time it took the bicycle to come to a stop

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)...

See similar textbooks

Related questions

Q: The angular speed of an automobile engine is increased at a constant rate from 1,200 rev/min to 3000…

A: The angular speed of an automobile engine is increased at a constant rate from 1,200 rev/min to 3000…

Q: 25 6. At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.3 m…

Q: 3. If a wheel starts at rest and accelerates to 35 rad/s in 4.9 s then what was the ang acceleration…

Q: 5. The Seattle Great Wheel has a radius of 57 meters. a) If the wheel has a period of rotation of 45…

Q: n the figure, Pulley A, rotating at 20 rad/s, controls the motion of Pulley B. The motor of pulley A…

A: Given:- In the figure Pulley A, rotating at ωA= 20 rad/s, controls the motion of Pulley B. The…

Q: A bicycle slows down uniformly from v = 10 m/s to rest over a distance of 50 m. Each wheel and tire…

A: The equation to solve for the radius of the wheel is as follows: r=d2r=2 m2r=1 m…

Q: 5: A merry-go-round is a playground ride that consists of a large disk mounted to that it can freely…

Q: car starts from rest and accelerates to 40 m/s in 8 s. how many REVOLUTIONS have the tires (that…

Q: A flywheel within a transmission with a diameter of 34.0 cm accelerates from rest to 300.0 rad/s in…

Q: A bicycle wheel has a radius r = 0.21 m and rotates at a constant frequency of f = 51 rev/min. r =…

A: The angular frequency, ω = 51rev/min = 5.34rad/s. The time period of rotation of the wheel is

Q: If the axis of rotation is specified, which of the following statements is not true in regard to a…

A: A body is said to rigid if it is do not deform under the action of force. Hence option a and e are…

Q: A contestant on the Price is Right spins the Big Wheel and it reaches an angular speed of 18 rad/s…

Q: A flywheel of radius 27.5 cm accelerates from rest to 2450 rpm in 2.5 s. a) Calculate the…

Q: 7) A 25-cm-radius wheel is rotating with an angular speed of 16 rad/s. It experiences an angular…

A: Given data: Radius of wheel is, r=25 cm =0.25 m. Initial angular speed is, ω1=16 rad/s. Angular…

Q: 1. The tub of a washing machine starts from rest and requires 8 seconds to acquire an angular speed…

Q: A wheel accelerates with a constant angular acceleration, α, of 4.5 rad/s2. If the initial angular…

Q: An automobile engine slows down from 3800 rpmrpm to 1400 rpmrpm in 2.0 s A)Calculate its angular…

Q: The tires of a car make 94 revolutions as the car reduces its speed uniformly from 93.0 km/h to 56.0…

Q: A turntable initially has an angular velocity of 4.51 rad/s. If the undergoes uniform angular…

Q: 1. A centrifuge rotor is accelerated for 25. s from 2000 rpm to 12000 rpm (revolutions per minute).…

A: Note: “Since you have asked multiple question, we will solve the first question for you. If you want…

Q: A small mass sits on a turntable at a distance of .347m from the center of the turntable. The small…

A: When a mass moves in circular path then it may have two acceleration: 1. Centripetal acceleration:-…

Q: 54. A cylinder with rotational inertia 11=2.0kg m2 rotates clockwise about a vertical axis through…

A: Given: I1 = 2.0 kg.m2ω1 = +5.0 rad/s(clockwise)I2 = 1.0 kg.m2ω2 =- 8.0 rad/s(counterclockwise)

Q: A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular…

A: 1) A cyclist starts from rest 2) Angular displacement of wheels: θ = 99 rev = 99 × 2π rad 3) Time…

Q: The flywheel of a steam engine runs with a constant angular speed of 132 rev/min. When steam is shut…

A: a) Apply the first angular kinematic equation to determine the angular acceleration.

Q: A cyclist starts from rest and pedals such that the wheels of his bike have a constant angular…

A: 1) A cyclist starts from rest 2) Angular displacement of wheels: 86 revs = 86× 2π rad 3) Time taken…

Q: A spinning wheel steadily slows from an initial angular velocity of 1.60 rev/s to 0.490 rev/s in…

A: Given that, Initial angular velocity (wi)= 1.60 rev/s Or (wi)= 1.60×2π rad/s = 10.06 rad/s Similarly…

Question

Situation #3
A bicycle slows down uniformly from Vo = 8.4 m/s to rest over a distance of 115 m.
Each wheel and tire have an overall diameter of 68.0 cm. Determine:
4. the angular velocity of the wheels at the initial instant
5. the total number of revolutions each wheel rotates before coming to rest
6. the angular acceleration of the wheel
7. the time it took the bicycle to come to a stop

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1 :Introduction

VIEW

Step 2 :Explanation

VIEW

Step 3 :Calculation of the angular velocity of the wheel

VIEW

Step 4 :Calculation of the number of revolutions

VIEW

Step 5:Calculation of the linear acceleration of the wheel

VIEW

Step 6 :Calculation of the angular acceleration of the wheel

VIEW

Step 7 :Calculation of the time taken by the wheel

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps

SEE SOLUTION Check out a sample Q&A here

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

1. A carousel is initially at rest. At t = 0 it is given an angular acceleration of 0.088 rad/s^2, which increases its angular velocity for 15 secs. At t = 15, determine the linear velocity, in m/s, of a child riding the carousel located 1.37 m. from the center. Round off to two decimal places.
If point on a front wheel of the bicycle tire completes exactly eight turns, what can be said about the linear and angular acceleration of point . a. Only the angular displacement is zero. b. Only the linear displacement is zero. c. Neither is zero. d. Both are zero.
Two people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 2.05 x 10-3 rad/s, while the other has an angular speed of 3.78 x 10-3 rad/s. How long will it be before they meet? Number i Start Units 02 0₁ End
A disk of radius 0.36 [m] is rotating about its center at a constant angular speed of 30 [rad/s]. Which of the following statements are TRUE about the motion of the disk?I. The angular speed at a point a third from the rim of the disk is 0.12 [rad/s].II. The disk turns through 75 [rad] in 2.5 [s].III. The linear speed at the rim of the disk is 11 [m/s].
Consider a phonograph with a diameter of 0.6 m and a rotational speed of 33 RPM. Answer the following questions. What is its radius in m?What is its rotational speed in rad/s?What is the tangential speed on the phonograph's outer edge in m/s?What is the tangential speed at the center of the phonograph in m/s?What is the tangential speed halfway out to the edge of the phonograph?