1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.
1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.
1. A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the a) angular acceleration, b) angle in degrees through which the blade has turned in the 20-s interval, c) the linear velocity of a point in the rim of the saw when the angular velocity is 10 rad.s-1. 2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3 where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the wheel as a function of time. 3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per minute about an axis through its center. What is its kinetic energy? 4. What is the angular velocity of the hour hand of a clock if it has a length L and mass m? Hint: Always use standard units in your solutions.
1. A circular saw blade 0.6 m in diameter starts from rest and accelerates
with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s.
Find the a) angular acceleration, b) angle in degrees through which the blade
has turned in the 20-s interval, c) the linear velocity of a point in the rim
of the saw when the angular velocity is 10 rad.s-1.
2. The angle @ through which a bicycle wheel turns is given by e = a +bt2+ ct3
where a, b, and c are constants. Calculate the a) velocity and b) acceleration of the
wheel as a function of time.
3. A grinding wheel 0.2 m in diameter, of mass 3 kg, is rotating at 3600 revolution per
minute about an axis through its center. What is its kinetic energy?
4. What is the angular velocity of the hour hand of a clock if it has a length L
and mass m?
Hint: Always use standard units in your solutions.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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