Question

A certain alarm clock ticks four times each second, with each tick representing half a period. The balance wheel consists of a thin rim with radius 0.53 cm , connected to the balance staff by thin spokes of negligible mass. The total mass of the balance wheel is 0.80 g .

Answer 1

`2.8*10^(-8) Kgm^2`

Step-by-step explanation:

Assuming that we have to calculate moment of inertia of balanced wheel about the shaft.

mass of balanced wheel = 0.80 g

radius of the rim = 0.53 cm

moment of inertia (I) =
`mr^2`

=
`0.85*10^(-2)(*0.58*10^(-2))^2`

=
`2.8*10^(-8) Kgm^2`

therefore, MOI of the wheel =
`2.8*10^(-8) Kgm^2`