A body rotates about its center according to the relation θ = 10t2 + 8t – 5. Determine the tangential component of linear acceleration if its normal component of linear acceleration is 30 meters per sq. second. Assume that “t” in the equation is in seconds. The diameter of the body is 5 meters

A body rotates about its center according to the relation θ = 10t2 + 8t – 5. Determine the tangential component of linear acceleration if its normal component of linear acceleration is 30 meters per sq. second. Assume that “t” in the equation is in seconds. The diameter of the body is 5 meters

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

Similar questions

Imagine that the CD on the right side is rotating with a constantangular velocity of �=6 rad/s between t=0 and t=3 s. Then, at t=3 s,it is suddenly subjected to a constant angular acceleration of α=6rad/s2 for 2 seconds. Determine the number of turns for the totaltime interval from t=0 to t=5 s. (Diameter of the CD is 12 cm)
Assuming there is no slippage for the belt assembly below, Determine the following: What is the average angular velocity of each pulley if the rope accelerates from 5 m/s to 10 m/s in 10 s? How many revolutions does the pulley turn in that time? R1 = 0.3 m R2 = 0.2 m R3 = 0.1 m
The disk with radius r = 0.2 m (figure below) starts from rest and receives an angular acceleration at clockwise given by alfa= (3t3)rad/s2, where t is given in second. That said, for t = 3 s determine: (a) the angular velocity of the disk (b) the velocity intensity of a point P on the edge of the disk. Represent the direction of the velocity vector at point P indicated in the figure (c) the intensities of the normal and tangential components of the acceleration of a point P in the edge of the disc. Plot the direction of these acceleration components at the indicated point P in the figure
The cord, which is wrapped around the disk, is given an acceleration of a=(12t)m/s2, where t is in seconds A) Starting from rest, determine the angular displacement of the disk, measured clockwise, when t = 3 s B) Starting from rest, determine the angular velocity of the disk, measured clockwise, when t = 3 s C) Starting from rest, determine the angular acceleration of the disk, measured clockwise, when t = 3 s .
The constant angular acceleration of the rotating disk is 12 rad/s2 . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec.
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 7 in./sec, which is decreasing at the rate of 3 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 10 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. *********************ANSWER THIS PART ONLY************ Write the velocity and acceleration as vectors.v = (______ er + ______ eθ) in./seca = ( ______er + ______ eθ) in./sec2
The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.8 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.61 s-1. Find (a) the velocity when t = 5.5 s, (b) the position x when t = 5.5 s, (c) the velocity when x = 3.5 m.
b) Find the angular velocity and angular acceleration of disc B shown below, which is spinningatthe constant rate of ω2 = 90/πrpm. The disc is attached to collar A, which is rotating at the angular speed of ω1 = 5/π rpm, with the angular speed increasing at 0.5/π rpm/sec. Rod AB which connects the disc to the collar ispinned to the collar at A. The rod makes an angle of θ = 300 with the vertical, which is increasing at a constant rate of20/π0/sec.Express theAngularvelocityAcceleration of the disc in terms of a reference frame attached to thecollar.
Consider the portion of an excavator shown. At the instant under consideration, the hydraulic cylinder is extending at a rate of 5 in./sec, which is decreasing at the rate of 2 in./sec every second. Simultaneously, the cylinder is rotating about a horizontal axis through O at a constant rate of 13 deg/sec. Determine the velocity v and acceleration a of the clevis attachment at B. Write the velocity and acceleration as vectors.Answers:v = ( er + eθ) in./seca = ( er + eθ) in./sec2
find an acceleration of the center of the beam (marked as a blue point) which is connecting both wheels , if it is known that linear velocity ot the wheels v=100km/h, r=0,8m and the distance drom the center of the wheel and the pont where the beam is connected (marked as red red distance)=0,4m, there is no slipping between wheels and the ground
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
A train is moving horizontally to the right with the speed of VT=60 mi/h. Meanwhile, a car is traveling toward the train with the speed of VC=30 mi/h and a 30deg angle with respect to horizontal direction. Select the correct expression of the velocity vector of the train relative to the car ___________mi/h A. (60-30cos30°)-30sin30° B. (60-30cos30°) +30sin30° C. (60+30cos30°)-30sin30° D. (30cos30°-60) +30sin30°