243 rad is the angle through which the wheel turns during this time.
<h3>What is torque and angular speed?</h3>
Torque is a measure of the force that can cause an object to rotate about an axis.
Angular speed is define as the measuring angle of rotation over a given amount of time.
Mathematically , ω = θ t
From the given question ,
Torque = 19.8 rad/s
ω = 23.5 rad/s
t = 11.2 s
We get the equation,
= 243 rad
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Answer:
v_max = (1/6)e^-1 a
Explanation:
You have the following equation for the instantaneous speed of a particle:
(1)
To find the expression for the maximum speed in terms of the acceleration "a", you first derivative v(t) respect to time t:
(2)
where you have use the derivative of a product.
Next, you equal the expression (2) to zero in order to calculate t:
For t = 1/6 you obtain the maximum speed.
Then, you replace that value of t in the expression (1):
hence, the maximum speed is v_max = ((1/6)e^-1)a
