Clarence is taking his dog for a walk around town. After wandering around for an hour, his mother calls him, telling him dinner
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The initial angular speed of the fan will be 55.0 rad/sec. The angular speed of the fan decreases to 84.7 rad/s in 2.96 s.
<h3>What is angular acceleration?</h3>Angular acceleration is defined as the pace of change of angular velocity with reference to time.
Given data;
Final angular speed,
Initial angular speed,
Time period,t= 2.96 s
Angular deceleration = 47.2 rad/s²
Hence the initial angular speed of the fan will be 55.0 rad/sec.
To know more about angular acceleration refer to the link ;
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Answer:
Please refer to the attached schematic for free-body diagrams of the blocks.
The contact forces N1 = mg, N2 = 3mg.
The friction force fs = mg/2.
The tension force T = 3mg/2.
The distance y = (gt^2)/4
Explanation:
Starting with the third block which is declining a time t. Newton's Second Law implies that
There are two unknowns in one equation: T and a. Therefore, we need to find more equations to solve these unknown variables.
Let's look at free-body diagram 1:
Newton's Second Law:
That is another equation with one more unknown: fs.
Free-body diagram 2:
That is our third equation. We now have three equations with three unknowns. Combining equation 2 and 3 gives:
Plugging this equation into the first equation gives
Following this, we can find the other unknowns:
The contact forces are N1 and N2.
Finally, using the acceleration and equation of kinematics, we can find the distance the hanging weight drops in a time t.
