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

Answer:

$2.8\times10^{-8} Kgm^2$

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) = $mr^2$

= $0.85\times10^{-2}(\times0.58\times10^{-2})^2$

= $2.8\times10^{-8} Kgm^2$

therefore, MOI of the wheel =  $2.8\times10^{-8} Kgm^2$