That all looks right.dennislam said:Homework Statement
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Homework Equations
v=rω
conservation of energy
The Attempt at a Solution
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I don't know whether it is correct or not, and I am quite confused in part b
it asks the angular speed of the pulley
can I say that v=rω since the pulley and box A,B have a common velocity?
so is ω equal to 1/R*√((2gh)(mA-mB)/(mA+mB+I/R^2))?
but the question is worth 10 marks
The angular speed of a pulley refers to the rate at which the pulley is rotating around its center axis. It is measured in radians per second (rad/s) or revolutions per minute (RPM).
The angular speed of a pulley can be calculated by dividing the linear speed of a point on the edge of the pulley by the radius of the pulley. This can be represented by the formula ω = v/r, where ω is the angular speed, v is the linear speed, and r is the radius.
The angular speed of a pulley can be affected by the mass of the pulley, the radius of the pulley, and the force or torque applied to the pulley. Friction and external forces can also affect the angular speed.
The angular speed and linear speed of a pulley are directly related. When the angular speed increases, the linear speed also increases, and vice versa. This relationship is represented by the formula v = ωr, where v is the linear speed, ω is the angular speed, and r is the radius of the pulley.
The angular speed of a pulley is an important concept in science because it is used to calculate the velocity and acceleration of objects connected to the pulley, such as belts or ropes. It also helps in understanding the mechanics of rotational motion and how different forces can affect the speed and direction of a pulley.