In an experiment on the conservation of angular momentum, a student needs to find the angular momentum L of a uniform disc of mass M and radius R as it rotates with angular velocity ω. She makes the following measurements:

M = 1.10 ± 0.01 kg,

R = 0.250 ± 0.005 m,

ω = 21.5 ± 0.04 rad/s

and then calculates L as L = ½MR2 ω. (The factor ½MR2 is just the moment of inertia of the uniform disc.) What is her answer for L with its uncertainty? (Consider the three original uncertainties to be independent.)

Explanation:

If is a measured observable, then is the error/uncertainty

Angular momentum,

To find the error in , that is , we can follow the following steps:

Let us take log (base ) both sides,

Now taking the differential of the above equation and putting in the respective values, we get,

Therefore, uncertainty in L =

the following is queen elizabeth’s purposes:

- to encourage the parliament that the technique of picking successors to the seat based merely on birthright needs to be reviewed.

- (not) to convince the parliament that her kid should not be measured as a likely choice for heir to the english power.

- to persuade the parliament that merely since she has a child does not assure that the kid will be a capable leader.

- to sway the parliament how shattering it could be if they proceeded discourteously concerning her or her child.