1. at what time is the angular velocity of the motor shaft zero? 2. calculate th
ID: 1293577 • Letter: 1
Question
1. at what time is the angular velocity of the motor shaft zero?
2. calculate the angular displacement at the instant that the motor shaft has zero angular velocity.
3.at t=2sec the linear speed of the shaft is ? and its linear acceleration is ?...
At t=0 the current to a de electric motor is reversed, resulting in an angular acceleration of the motor shaft given by alpha (t)=(-6rad/s^2). the initial angular speed is 2 rad/s. the radius of the shaft is 20 cm. (hint angular kinematics for constant angular acceleration) 1. at what time is the angular velocity of the motor shaft zero? 2. calculate the angular displacement at the instant that the motor shaft has zero angular velocity. 3.at t=2sec the linear speed of the shaft is ? and its linear acceleration is ?...Explanation / Answer
?(t)=( 257)t?( 20.1 )t2?( 1.55 )t3.
At what time is the angular velocity of the motor shaft zero?
The angular velocity w is the first derivative of the displacement
w = d? /dt = 257 - 40.2t - 4.65t^2
solve for t when d? /dt =0 ( use quadratic equation)
Calculate the angular acceleration at the instant that the motor shaft has zero angular velocity
the angular acceleration alpha = d^2? /dt*2 = dw/dt
alpha = 40.2 -9.3t
use value to t obtained above in acceleration equation to find acceleration
How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero?
use t above in displacement equation to get number of degrees , then calculate number of revolutions
Calculate the average angular velocity for the time period from t=0 to the time calculated in part A.
using displacement equation calculate number of degrees when t = 0 to t = value obtained above
average velocity = displacement / time
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