10. 0.67/1 points | Provious Answors SorPSET9 10.P.D65 My Notes A metal can cont

Question

10. 0.67/1 points | Provious Answors SorPSET9 10.P.D65 My Notes A metal can containing condensed mushroom soup has mass 220 g, height 11.2 cm and diameter 6.38 cm. It is placed at rest on its side at the top of a 3.00-m-long incline that is at 34.0 to the horizontal and is then released to roll straight down. It reaches the bottom of the incline after 1.50 s (a) Assuming mechanical energy conservation, calculate the moment of inertia of the can. 0.00004545x Your response differs from the correct answer by more than 10%. Double check your calculations. kg-m2

Explanation / Answer

here,

mass , m = 0.22 kg

height , h = 11.2 cm = 0.112 m

diameter , d = 6.38 cm = 0.0638 m

length of incline , l = 3 m

time taken , t = 1.5 s

let the accelration be a

s = 0 + 0.5 * a * t^2

3 = 0 + 0.5 * a * 1.5^2

solving for a

a = 2.67 m/s^2

let the moment of inertia be I

a = ( m * g * sin(theta))/( m + I/r^2)

2.67 = ( 0.22 * 9.81 * sin(34))/( 0.22 + I/0.0319^2)

solving for I

I = 2.36 * 10^-4 Kg.m^2

the moment of inertia is 2.36 * 10^-4 Kg.m^2

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