A grindstone of mass M=30 kg and radius 0.50 m start from rest and experiences a constant angular acceleration, α, of 3.00 rad/s2. After 2 seconds… a. Find the angular displacement (θ)? Find the angular speed (ω)? b. Find the distance traveled in meters of a point on the rim of the grindstone (after 2 sec). Also Find the speed, v, of a point on the rim (after 2 sec.). c. Find the tangential acceleration of a point on the rim (after 2 sec.) and find the centripetal acceleration on the rim (after 2 sec). If the grindstone is considered a solid disc with I=MR2/2, find the torque necessary for it to have the given angular acceleration?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
- A grindstone of mass M=30 kg and radius 0.50 m start from rest and experiences a constant
angular acceleration , α, of 3.00 rad/s2.
After 2 seconds…
a. Find the
b. Find the distance traveled in meters of a point on the rim of the grindstone (after 2 sec). Also Find the speed, v, of a point on the rim (after 2 sec.).
c. Find the tangential acceleration of a point on the rim (after 2 sec.) and find the centripetal acceleration on the rim (after 2 sec). If the grindstone is considered a solid disc with I=MR2/2, find the torque necessary for it to have the given angular acceleration?
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