The angle of rotation of a body is given by the equation, e= 3t3 + 4t2-6t+9, where eis expressed in radians and t in seconds, Find (i) Angular velocity and (ii) Angular acceleration of the body when t = 0 and t = 4 sec.

The angle of rotation of a body is given by the equation, e= 3t3 + 4t2-6t+9, where eis expressed in radians and t in seconds, Find (i) Angular velocity and (ii) Angular acceleration of the body when t = 0 and t = 4 sec.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: For the mechanism, shown on the figure, OBC = const OA=BC=0,3 m, AB-0,6 m. Determine:

Q: Problem 2.23| A bicycle is moving to the right at a speed vg = 20mph on a horizontal and straight…

Q: Using Dependent Motion Analysis determine the velocity and acceleration of B. Also, solve for the…

A: Given: To find: Velocity and acceleration at B Velocity of C w.r.t B Acceleration of C w.r.t B

Q: Bar AB has the angular motions shown below. Suppose that the angular velocity and angular…

Q: 2) A car travels along a circular road with aradius of curvature of 75 m, and velocity of 10 m/s.…

A: Given Acceleration at 15 m can be determined as

Q: The rotor of a gas turbine is rotating at a speed of 6900 rpm when the turbine is shut down. It is…

A: Given Data No. of revolutions, N=6900 rpm Initial angular velocity, ω0=2πN60=2π(6900)60=722.57…

Q: A pulley rotates about fixed axis. The relation between the angular displacement and time is e =…

A: There are three of Newton's equations of motion. These equations are the relation between various…

Q: In a rotating body, when a body rotates with the angular velocity of 53.5 rad/sec, Calculate the…

A: for solution refer below images.

Q: At time t= 20 s, the velocity of a particle moving in the x-y plane is v = 0.12i + 2.64j m/s. By…

Q: of poin the acceleration (in m/s²) of point a

A: Given; Point R is accelerating with respect to, point at 10∠1800 m/s2.Intantaneous acceleration of…

Q: The angular displacement of particle for one revolution is measured in radian as- 4 T O T/2 O 10 n O…

A: Units of angular displacement is radians or ° (degree)

Q: The angular acceleration of the disk is defined by a = 3t2 + 10 rad/s², where t is in econds. The…

Q: 0.5 m 3 В Your Answer: Answer units

Q: A vector v is given as function of time t by v = ti +tj+tk m/s, where (i, j, k ) are unit vectors…

A: Data given- v = t3 i + t2 j + t k wH/R = t i + t2 j + t3 k

Q: A wheel rotating with 15 rev/s is uniformly accelerated at 0.6 rad/s2 for 7 seconds. It then rotates…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house.…

Q: shows the pedal system of a bicycle. If a cyclist applies force on the pedal (position of RA) from…

Q: The x-coordinate of a particle in curvilinear motion is given by x = 3.8t³ - 2.6t where x is in feet…

A: Given:x=3.8t3-2.6tay=3.9tuy=5.2 ft/st=5.3 sec

Q: A wheel and a connected pulley are rotating around a fixed shaft "O" and driven by a belt. At a…

Q: The angular displacement of particle for one revolution is measured in radian as- O 4n O T/2 10 n 2…

A: It is required to choose correct option

Q: Figure 0.6 m 0.3 m B 0.6m CD MACD 1 of 1 Determine the angular acceleration of link AB if link CD…

A: Angular velocity of the link CDAngular acceleration of the link CDFrom the figure, the length of the…

Q: A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank arm is 18 cm. At…

A: Disclaimer from Bartleby: Since you have posted a question with multiple sub-parts, we will solve…

Q: 1.The maximum angular velocity in (rad/s) is 2.The total angular displacement in (rad), θ=

Q: A rigid bar AC revolves about A at constant speed of 1.2 rad/s. The slider moving on the rigid bar…

Q: At a given instant the top B of the ladder has an acceleration ag = 2.2 ft/s² and a velocity of ug =…

Q: Find the acceleration of the body from t=5s to t=10s

Q: 1)Write the time derivative of the usual basis vectors in polar coordinates in terms of ø . Use…

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

Q: uncleady Bow of glycerin is such that at A It has a velocity of (3.2) / where is in seconds (1) re…

Q: 2.A train moving with a constant acceleration travels 7 m/sduring the 10th sec of its motion and 5…

Q: One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house.…

Q: The angular position of a rotating object as a function of time is given below: e = 4t3-4.8t2…

Q: A car P travels along a straight road with a constant speed v = 64 mi/hr. At the instant when the…

A: velocity To find:Velocity component in radial and tangential direction.

Q: A bicycle wheel with a 0.1 meter radius rolls down the road without slipping. If the speed of the…

A: Given data, r = 0.1 m v = 3 m/s Find acceleration = a = ?

Q: Q2: The boat in Fig.2 is traveling at 40km/h. The rope to tow the parasail is 150m long. At the…

Q: Q1. Find angular acceleration of AB for position shown below. B. o=1rad/sec a=1rad/s^2 0.35m 0.5m D…

Q: Ex.5.3 The position of a particle moving along the x-axis is described by x = t3 – 108t in. where t…

A: Displacement as a function of time is given. We can solve this question with the help of Microsoft…

Q: If the Lagrange equation is in the following form L = mR°o² – mgRcos 0 what are the equations of…

Q: In the figure, link 2 rotates with constant annular velocity CO2. A slider link 3 moves outwards…

A: Given:Velocity of slider=VQ/PAngular velocity of link=ω2

Q: 2 = 2.3 ft, VA = 4.7 ft/s, aa = 2.7 ft/s2, and the a cceleration (in rad/s2) of rod ABC. Negative…

A: l1=1.1ftl2=2.3ftvA=4.7ft/saA=2.7ft/s2θ=25° To-Find:- Angular acceleration=?

Q: A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of…

A: Given:

Q: The motor turns gear A with a constant angular acceleration, a=4 rad/s², starting from rest. TA=71,…

A: The distance of cylinder C.Given:The angular acceleration of the gear .The radius of the gear .The…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

The angle of rotation of a body is given by the equation,
e= 3t3 + 4t2-6t+9, where eis expressed in radians and t in seconds, Find
(i) Angular velocity and (ii) Angular acceleration of the body when t = 0 and t
= 4 sec.

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;Angular acceleration

VIEW

Step by step

Solved in 2 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A Ferris wheel with radius 30 ft is decelerating such that at t = 0 s, the tangential speed of a point P on the rim is v=10ft/s and dv/dt = ct. c=-0.4ft/s^3 . What is the acceleration of P at t= 3 s?
A rigid bar AC revolves about A at constant speed of 1.2 rad/s. The slider moving on the rigid bar is allowed to follow spiral path defined by Ө r = 4.25 + - cm where 0 is the angle rotated by link AC with respect to π x-axis in radians. The magnitude of Coriolis acceleration of the slider when r = 6 cm, is cm/s². A Ө C Spiral path of point B X
Q 1. An object rotates with angular acceleration, a defined as a dw where w is the angular velocity dt do Given that when t = 0, w = wo show that w = wo + at Also the angular velocity w is defined as w dt 1 where v is the angular displacement. Given that when t = u, U = U, then show that e = wot + 1 dp -KịpY where k1 + 0 where y dz Y - 1 Q 2. The pressure P of the atmosphere at an altitude z is given by l di Y-1 is the specific heat constant and kį is a constant. Show that z = 1 K
Asap
I need the answer as soon as possible
A motorcycle cage has a curved path in the x-z plane as shown. The cage path has different curved profile, and between point o and A the path is best described as z = f(x) = ax², where a = 0.09 and b = 1.23. The motorcyclist at point M is moving at a velocity of 12.6 m/s which is increasing at a rate of 1.9 m/s?. If the horizontal position of the motorcyclist at point M is xM = 11.9 m, determine (i) the direction of the motorcyclisť's velocity. (ii) the radius of the curvature of the cage's path at point M, (iii) the normal acceleration at point M, (iv) the magnitude and direction of the motorcyclist's acceleration at point M. A (z = ax
A wheel in fixed axis rotation spins at 300 rpm and decelerates at α = 3 rad/s2. How long does it take for the wheel to come to a complete stop?
The platform is rotating such that, at any instant, its angular position is 0 (t)=2+1.5 rad, where t is in seconds. A ball rolls outward so that its position is r(t) = 0.5t³ m. What is the magnitude of the acceleration of the ball when t = 1.4 s. Give your answer with 2 decimals.
A wheel rotating with 16 rev/s is uniformly accelerated at 0.4 rad/s2 for 10 seconds. It then rotates with a uniform speed for next 9 s. Then it is made to stop in next 15 s. Determine (i)maximum angular velocity; (ii) total angular displacement The velocity of the wheel at 10 seconds in rad/s is ? The angular displacement for the first case in rad is? The angular displacement for the second case in rad is? The maximum velocty in rad/s is? The angular displacement for the last case in rad is? The total angular displacement in rad is?
Given the image below, if acceleration at point B is 8m/s ⦫ 45o, and the angular velocity of BC is 2√2 rad/s clockwise, what is the magnitude of angular acceleration of bar BC? a. 1.27 b. 2.54 rad/s^2 c. 2.83 rad/s^2 d. 25.1 rad/s^2
2.) A meteor is about to hit a planet and its velocity is defined by v = 5t4 – 5t", where t is in seconds. Find the displacement and acceleration after 5 seconds.