Hi there!
We can begin by finding the acceleration of the block.
Use the kinematic equation:
The block starts from rest, so:
Now, we can do a summation of forces of the block using Newton's Second Law:
mb = mass of the block
T = tension of string
Solve for tension:
Now, we can do a summation of torques for the wheel:
Rewrite:
We solved that the linear acceleration is 1.5 m/s², so we can solve for the angular acceleration using the following:
Now, plug in the values into the equation:
Answer:
The minimum inductance needed is 2.78 H
Explanation:
Given;
frequency of the AC, f = 26.5 Hz
the root mean square voltage in the circuit, 
= 41.2 V
the maximum current in the circuit, I₀ = 126 mA
The root mean square current is given by;
The inductive reactance is given by;
The minimum inductance needed is given by;
Therefore, the minimum inductance needed is 2.78 H
The angular velocity is defined as "the angle changing over time."
From the given of the problem:
m = 100g
rate of revolution = 50 rev / min
Therefore, using the formula:
angular velocity = rate of revolution x 2*pi / revolution
Substituting:
angular velocity = (50 revs / min) x ( 2*pi radians / rev ) = 100*pi radians / min
As you can see, mass is not a part of the equation for solving the angular velocity therefore the amount of mass does not affect its value.
A paper pinwheel is spinning in the wind.
Which statement is correct about the forces responsible for the rotation?
The components of gravity and the force of wind that point through the pivot are responsible for the rotation.
Only the perpendicular component of wind is responsible for the rotation, because gravity points downward.
Only the perpendicular component of gravity is responsible for the rotation, because wind points toward the pivot.
The perpendicular components of gravity and the force of wind are responsible for the rotation.
Answer:
Only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot.
Explanation:
A pinwheel is a plaything that is made up of paper that is designed to spin when the wind comes in contact with it. The paper is held fast to its axle by a pin which enables it to spin.
Therefore, if the pinwheel is spun anti-clockwise, it brings electrical energy, converting the wind energy and <u>only the perpendicular component of gravity is responsible for the rotation because wind points toward the pivot. </u>
