Answered: The angular position 0 of a rotational…

The angular position 0 of a rotational object is given by 0-(4 rad/3) t3 The diameter of the object is www 0.50 meters. Calculate the angle 0 in radians for time 2.25 seconds. I=

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: A hamster running in a wheel of radius 15 cm spins the wheel at 16 revolutions per minute. Round…

Q: particle moves 6 m along a circle of radius 2.0 m. (Enter the magnitudes.) A.)Through what angle…

Q: An athlete whiris a discus in circle of radius 80.0 cm. At a certain instant, the athlete is…

A: radius = r = 80 cm = 0.8 m angular speed = W = 10 rad/s angular acceleration = 50 rad/s2

Q: The Earth takes 24h to complete one rotation about the axis passing through its poles. What is the…

Q: With what angular speed, in rad/s, does the Earth rotate about its axis? rad/s

A: The mathematical expression to calculate the angular speed is given as, ω=∆θ∆t Here, ∆θ is the…

Q: A record with a radius of 0.14 m, is turned 236 degrees in 18 seconds. What is the angular speed in…

A: it is time rate at which body revolves around an axis and it is measured in rad/sec.

Q: A centrifuge in a biochemistry laboratory rotates at an angular speed of 3,550 rev/min, clockwise…

A: Solution: as given that angular speed of 3,550 rev/min, clockwise it rotates through 54.0…

Q: A phonograph record accelerates from rest to 36.0 rpm in 3.83 s. (a) What is its angular…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω) = 36.0 rpm Time (t) =…

Q: A fan is spinning with an angular velocity of 3500 revolutions per minute (rpm). When turned off,…

A: From kinematics, the expression for the final angular velocity is:

Q: Determine the number of revolutions (in rev.) the wheel must undergo to acquire an angular velocity…

A: Given: ωf = 22 rad/s ωi = 8 rad/s α = 1.71 rad/s2…

Q: A wheel 203 cmcm in diameter takes 2.30 ss for each revolution. Find the period of the wheel.…

Q: A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s starts from…

A: Given that, Angular acceleration α=2.0 rad/s2 Time t= 0.60 s Diameter = 52 cm

Q: A millstone is spinning with an angular speed of 16.0 rad/s. Within 8.0 seconds the angular speed is…

A: Given data: Initial angular speed ωi=16 rad/s Final angular speedωf=24 rad/s Time (t) = 8 sec Need…

Q: A medical saw is rotating at a constant rate of 15 revolutions per second. Convert its rotation to…

A: Given: Angular velocity (ω) = 15 rev/s Required: Angular velocity in rad/s

Q: A boy rides his bicycle 1.92 km. The wheels have radius 31.5 cm. What is the total angle (in rad)…

A: Answer 6095.238 rad

Q: During a certain time interval, the angular position of a swinging door is described by 8 = 5.02 +…

Q: object that is initially at rest begins to rotate with a constant angular acceleration of 2.65…

Q: At its peak, a tornado is 64.0 m in diameter and carries 100 km/h winds. What is its angular…

Q: A truck with 0.8 m radius tires travels at 39 m/s. What is the angular velocity of the rotating…

A: Radius, r = 0.8 mVelocity, v = 39 m/sAngular velocity, ω = ?

Q: A wheel makes 69.169.1 rotations during 5.59 s.5.59 s. What is the average angular velocity ?avωav…

Q: A spot of paint on a bicycle tire moves in a circular path of radius 0.41 m. When the spot has…

A: Given information: The radius of the circular path, r=0.41 m The linear distance traveled by the…

Q: At its peak, a tornado is 66.0 m in diameter and carries 270 km/h winds. What is its angular…

Q: A clock consists of three hands that rotate around: one measuring hours, one measuring minutes, and…

A: The formula for the average angular velocity is:

Q: The SI unitfor angular acceleration m/s^2 rad/s rad/s^2 non

A: angular acceleration is simply the change of angular velocity in some given interval of time.

Q: How many radians does an motorcycle tires rotate after starting from rest and accelerating at a…

A: For circular angular motion, the formula for angular displacement θ and angular acceleration α is…

Q: A wheel is spinning at 350 rev/s. It undergoes an angular acceleration until it reaches an angular…

Q: wheel, radius = 16 cm starts from rests. angular speed increases over 9.4 s until it reaches 22…

Q: A car is driving at 3.5 m/s when it begins to accelerate. The 24.8 cm radius wheels accelerate at 19…

A: Angular acceleration α=dωdt=ω/t ω=angular speed at time t Linear distance=linear speed /time

Q: The angular velocity of a rotating rigid body increases from 250 to 1,800 rev/min in 115 s. (Enter…

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

I U abc X₂ X
Font
English (United States)
A.-A.
Paragraph
T Normal T No Spac... Heading 1 Heading 2
QBúsqueda
The angular position 0 of a rotational object is given
by 0-(4 rad/3) t3 The diameter of the object is
0.50 meters. Calculate the angle 0 in radians for
time 2.25 seconds.
Styles
J=
L
Title
Subtitle
Subtle Em....

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data

VIEW

Step 2: Calculation of angle

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

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 wind turbine is rotating counterclockwise at 0.83 rev/s and slows to a stop in 13 s. Its blades are 23 m in length. (a) What is the angular acceleration of the turbine (in rad/s-)? (Indicate the direction with the sign of your answer.) -.402 rad/s (b) What is the centripetal acceleration (in m/s2) of the tip of the blades at t = 0? (Enter the magnitude. Round your answer to at least two decimal places.) 627.13 X m/s2 (c) What is the magnitude (in m/s2) of the total linear acceleration of the tip of the blades at t = 0? (Round your answer to at least two decimal places.) %3D m/s2 What is the angle that this total linear acceleration vector makes with the centripetal acceleration vector? (Enter the magnitude of the smallest such angle in degrees.)
What is the angular velocity (in rad/s) of an 82.0 cm diameter tire on an automobile traveling at 85.5 km/h? (Enter the magnitude.) rad/s
An electrical motor spins at 2850 rpm. The armature radius is 2.68. What is the angular velocity in radian/seconds? B) Through what angle does the motor turn in 0.25 s?
The angular velocity of a rotating rigid body increases from 250 to 1,800 rev/min in 115 s. (Enter the magnitudes.) A.)What is the angular acceleration of the body (in rad/s2)? B.)Through what angle (in rad) does it turn in this 115 s?
Convert 51.0° to radians. rad= (b Convert 14.0 rad to revolutions. rev= Convert 80.0 rpm to rad/s. rad/s=
A disc rotates at 90 rpm (revolutions per minute).What is the angular speed (in rad/s)?
A grinding wheel starts from rest and accelerates at a rate of 4 pi rad/s2 How long will it take for the wheel to go through 100 revolutions?
A 0.2 m-radius wheel rotates clockwise from rest with constant angular acceleration of 0.2 rad/s2, what is the total distance or arc length will point A travel in 3s?
Km A bicycle trave ling 15 * has wheels of 35 inch diameder. a) What is the angular speed of Hhe wheel s about their axis af rotation? stop unifurmly It the bigele is brought do in 25 turns of the wheels b) what is the angular accelera toon ? c) how dur does the bicyck travel during this braking time?
Please Asap
At time t= 0s, a wheel has an angular displacement of zero radians and an angular velocity of 29 radja The wheel has a constant acceleration of -0.52 radjs?. In this situation, the maximum value of the angular displacement, in rad, is closest to: OA. +1011 O B. +1617 OC. +1213 O D.+1415 O E. +809
Convert 46.0° to radians. rad (b) Convert 20.0 rad to revolutions. rev (c) Convert 71.0 rpm to rad/s. rad/s