Answer: [tex]12.415 rad.s^{-1}[/tex]
Explanation: Angular velocity is the rate of change in angular displacement.
We know that:
Angular velocity,
....................(1)
where:
= angular displacement in radians
<u>Given that:</u>
Putting the respective values in eq. (1)


Answer:
Straight line parallel to time axis.
Explanation:
The slope of the position time graph gives the velocity.
As the man is still, that means the velocity is zero. So, the slope of the graph is zero. It is a straight line parallel to time axis.
The distance covered by the body is 114.3 m
Explanation:
The work done by a force exerted on an object is given by

where
F is the magnitude of the force
d is the displacement of the object
is the angle between the direction of the force and of the displacement
For the object in this problem, we have
F = 350 N is the force applied
is the work done
if we assume that the force is applied parallel to the motion of the object
Solving for d, we find the distance covered by the object:

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Answer:
Mutual inductance will be 
Explanation:
We have given induced current 
Time is given as 
We have to find the mutual inductance between the coils
Induced emf is given as e = 9 volt
We know that induced emf is given by


Answer:
Moment of Inertia, I = 0.016 kgm²
Explanation:
Mass of the ball, m = 0.20 kg
Length of the pitcher's arm, l = 0.28
Radius of the circular arc, r = 0.28 m
Moment of Inertia is given by the formula:
I = mr²
I = 0.20 * 0.28²
I = 0.20 * 0.0784
I = 0.01568
I = 0.016 kgm²