100 gram ball connected to one end of a 30cm Wireless cord and another end of the cord is connected with fixed rotational axis . what is the moment of inertia with respect to the axis
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Answers
Answer:
0.009 kg/m²
Step-by-step explanation:
Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of each particle with its square of a distance from the axis of rotation.
The moment of inertia, I=mr²
Step I> Identify the given information
Mass of the ball = 100 grams
Length of the cord = 30 cm
Convert the given measurements
Grams to kilograms
100 grams = 100 ×\frac{1}{1000} = 0.1 kg =100×10001=0.1kg
Centimeters to meters
30 cm = 30 ×\frac{1}{100} = 0.3 m 30cm=30×1001=0.3m
Step II> Calculate the moment of inertia
The moment of inertia I=mr²
I=(0.1kg)(0.3m)²
I = (0.1 kg)(0.09) m²
I = 0.009 kg.m²
Hence, moment of inertia of the ball I=0.009 kg.m² [Ans]
Answer:
100 gram ball connected to one end of a 30cm Wireless cord and another end of the cord is connected with fixed rotational axis . what is the moment of inertia with respect to the axis100 gram ball connected to one end of a 30cm Wireless cord and another end of the cord is connected with fixed rotational axis . what is the moment of inertia with respect to the axis100 gram ball connected to one end of a 30cm Wireless cord and another end of the cord is connected with fixed rotational axis . what is the moment of inertia with respect to the axis
Step-by-step explanation:
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