Answer:
Angular momentum of the system is 16221465.4617 kgm²/s
Explanation:
Given that;
length of the side of the triangle L = 82 M
m = 75.0 kg × 100 = 7500 kg
distance of each vertex from center R = L/√3 = 82/√3 = 47.34 m
effective acceleration a = 9.8 / 2 = 4.9 m/s²
we know that; effective acceleration is being provided by centripetal acceleration.
so
a = R × w²
rate of rotation w = √( a / R) = √( 4.9 / 47.34) = 0.3217 rad/seconds
Moment of Inertia I = 3mR²
we substitute
I = 3 × 7500 × (47.34)²
Also, Angular momentum L is expressed as;
L = I × w
so
L = 3 × 7500 × (47.34)² × 0.3217
L = 16221465.4617 kgm²/s
Therefore, Angular momentum of the system is 16221465.4617 kgm²/s
