How far is it between the cafeteria and the swimming pool
1 answer:
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Answer:
The angular velocity is
Explanation:
From the question we are told that
The mass of the block is
The of the pulley is
The radius of the pulley is
The radius of the cord around the pulley is
The distance of the block to the floor is
From the question we are told that the moment of inertia of the pulley is
Substituting value
Using the Newtons law we can express the force acting on the vertical axis as
=>
Now when the pulley is rotated that torque generated on the massless cord as a r result of the tension T and the radius of the cord around the pulley is mathematically represented as
Here is the angular acceleration
Here is the torque which can be equivalent to
Substituting this above
Substituting for T
Here is the linear acceleration which is mathematically represented as
making the subject
Substituting values
Now substituting into the equation above to obtain the acceleration
This acceleration is
and v is the linear velocity with is mathematically represented as
Substituting this into the formula acceleration
making t the subject
substituting value
Now the linear velocity is
The angular velocity is
So
Generally 1 radian is equal to 0.159155 rounds or turns
So 5.59 radian is equal to x
Now x is mathematically obtained as
Also
60 second = 1 minute
So 1 second = z
Now z is mathematically obtained as
z
Therefore