A way to test the tensile strength of a wire is to place a mass at the end of it and spin the mass with uniform circular motion. The speed at which the wire breaks is a measure of its strength. The maximum frequency of rotation before a certain wire breaks is 35.5 Hz. The wire is 50.5 cm long and has a mass of 0.656 kg. (a) Determine the speed with which the mass moves. (b) Calculate the centripetal force acting on the wire
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 way to test the tensile strength of a wire is to place a mass at the end of it and
spin the mass with uniform circular motion. The speed at which the wire breaks is
a measure of its strength. The maximum frequency of rotation before a certain
wire breaks is 35.5 Hz. The wire is 50.5 cm long and has a mass of 0.656 kg.
(a) Determine the speed with which the mass moves.
(b) Calculate the
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