Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.19 rad/s at t = 0 andsubsequently experiences an angular acceleration a = 2.3t where t is in seconds, and a is in radians per second squared. Determine thevelocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.5 s.Assume r = 225 mm.αAnswers:A-xVA= (ii +j) m/sад =(ii +j) m/s²

First, we need to calculate the angular velocity at the given time. The angular velocity ω at any…

Answered: Point A of the circular disk is at the…

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

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A 3 in radius disk spins at the constant ω1 - 5 radian/s and a constant rate ω2= 4 radians/s. If the angle is 45 degrees, find the absolute acceleration at point P.
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The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using (1) vector equations; and (2) scalar equations. H.W 2 rad/s? w = 3 rad/s Ans: 0.2 m -0.3 m- 30° -0.3 m VA = 0.3i m/s a = -0.9k – 0.2i m/s? (a)
The rigid body is rotating about the y-axis. In the position shown in Fig. (a), the angular velocity and angular acceleration of the body are as specified in the figure. Determine the velocity and acceleration vectors of point A in this position using(1) vector equations; and (2) scalar equations. Ans:VA= 0.3im/sBA = -0.9k - 0.2i m/s2
The triangular plate rotates about a fixed axis through point O with the angular properties indicated. Determine the instantaneous velocity and acceleration of point A if h = 225 mm, b = 365 mm, w = 2.9 rad/s, a = 1.6 rad/s². a h Answers: VA= (i aA = Y I -X i+ j) m/s j) m/s² $
Point A of the circular disk is at the angular position 0 = 0 at time t = 0. The disk has angular velocity wo = 0.29 rad/s at t = 0 and subsequently experiences an angular acceleration a = 1.8t where t is in seconds, and a is in radians per second squared. Determine the velocity and acceleration of point A in terms of fixed i and j unit vectors at time t = 2.7 s. Assumer = 145 mm. α 90 i + i 1 j) m/s i + 0.705 j) m/s² Answers: VA= ад = ( i 0 (i 6.806
Please help with the attached problem.
The disk in (Figure 1) is originally rotating at ω0 = 14 rad/s. It is subjected to a constant angular acceleration of ααalpha = 16 rad/s^2. Part A: Determine the magnitude of the velocity of point A at the instant tt = 0.5 s. Express your answer in feet per second to three significant figures Part B: Determine the magnitudes of the n and tt components of acceleration of point A at the instant tt = 0.5 s. Express your answers in feet per square second using three significant figures separated by a comma. .
The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of w₂ = 6 rad/s, which is increasing at a = 2.5 rad/s². No slipping occurs. (Figure 1) Figure B 0.1 m S tiff 83 0.5 m 0.1 m 1 of 1 Part A Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation. Express your answers using three significant figures separated by commas. (VB)z, (UB)y, (UB)₂ = (0,6,0) Submit 17 ΑΣΦ ↓↑ Part B Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining (aв)z, (aв)y, (aB)₂ = vec Submit Request Answer Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation. Express your answers using three significant figures separated by commas. ? A vec m/s ? m/s²

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