Achild's top is held in place upright on a frictionless surface. the axle has a radius of =3.21 mm . two strings are wrapped around the axle, and the top is set spinning by applying t=3.15 n of constant tension to each string. if it takes 0.320 s for the string to unwind, how much angular momentum does the top acquire? assume that the strings do not slip as the tension is applied.

Angular momentum,

Explanation:

It is given that,

Radius of the axle,

Tension acting on the top, T = 3.15 N

Time taken by the string to unwind, t = 0.32 s

We know that the rate of change of angular momentum is equal to the torque acting on the torque. The relation is given by :

Torque acting on the top is given by :

Here, F is the tension acting on it. Torque acting on the top is given by :

So, the angular momentum acquired by the top is . Hence, this is the required solution.

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.

the right answer is 0.3 meters per second