What is the angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2? a) 62.5 kg·m^2/sb) 625 kg·m^2/sc) 250°/sd) 0.25 kg·m^2/s Final Answer: The angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2, after converting angular velocity to rad/s, is found to be 1.09 kg·m^2/s. Angular momentum is a fundamental concept in physics that helps us understand the rotational motion of objects. When calculating the angular momentum of a system, we need to consider both the moment of inertia and the angular velocity. The formula for angular momentum (L) is given by L = I * ω, where I is the moment of inertia and ω is the angular velocity. In this case, the moment of inertia is 0.25 kg·m^2 and the angular velocity is 250°/s. First, we need to convert the angular velocity from degrees per second to radians per second, as the standard unit for angular velocity is rad/s. We can do this by multiplying the angular velocity by π/180. So, 250° * π/180 ≈ 4.36332 rad/s. Now, we can plug these values into the formula for angular momentum: L = 0.25 kg·m^2 * 4.36332 rad/s ≈ 1.09 kg·m^2/s. Therefore, the angular momentum of this system is approximately 1.09 kg·m^2/s. By understanding the principles behind angular momentum calculations, we gain insight into the underlying physics of rotational motion. It allows us to interpret how objects move and interact in the world around us, shedding light on the intricate dynamics of the physical universe.

Question

What is the angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2? a) 62.5 kg·m^2/sb) 625 kg·m^2/sc) 250°/sd) 0.25 kg·m^2/s   Final Answer: The angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2, after converting angular velocity to rad/s, is found to be 1.09 kg·m^2/s.   Angular momentum is a fundamental concept in physics that helps us understand the rotational motion of objects. When calculating the angular momentum of a system, we need to consider both the moment of inertia and the angular velocity.  The formula for angular momentum (L) is given by L = I * ω, where I is the moment of inertia and ω is the angular velocity. In this case, the moment of inertia is 0.25 kg·m^2 and the angular velocity is 250°/s.  First, we need to convert the angular velocity from degrees per second to radians per second, as the standard unit for angular velocity is rad/s. We can do this by multiplying the angular velocity by π/180. So, 250° * π/180 ≈ 4.36332 rad/s.  Now, we can plug these values into the formula for angular momentum: L = 0.25 kg·m^2 * 4.36332 rad/s ≈ 1.09 kg·m^2/s. Therefore, the angular momentum of this system is approximately 1.09 kg·m^2/s.  By understanding the principles behind angular momentum calculations, we gain insight into the underlying physics of rotational motion. It allows us to interpret how objects move and interact in the world around us, shedding light on the intricate dynamics of the physical universe.

Ashton · Answer

Final Answer: The angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2, after converting angular velocity to rad/s, is found to be 1.09 kg·m^2/s.   Angular momentum is a fundamental concept in physics that helps us understand the rotational motion of objects. When calculating the angular momentum of a system, we need to consider both the moment of inertia and the angular velocity.  The formula for angular momentum (L) is given by L = I * ω, where I is the moment of inertia and ω is the angular velocity. In this case, the moment of inertia is 0.25 kg·m^2 and the angular velocity is 250°/s.  First, we need to convert the angular velocity from degrees per second to radians per second, as the standard unit for angular velocity is rad/s. We can do this by multiplying the angular velocity by π/180. So, 250° * π/180 ≈ 4.36332 rad/s.  Now, we can plug these values into the formula for angular momentum: L = 0.25 kg·m^2 * 4.36332 rad/s ≈ 1.09 kg·m^2/s. Therefore, the angular momentum of this system is approximately 1.09 kg·m^2/s.  By understanding the principles behind angular momentum calculations, we gain insight into the underlying physics of rotational motion. It allows us to interpret how objects move and interact in the world around us, shedding light on the intricate dynamics of the physical universe.

Angular Momentum Calculation: Reflecting on Physics Principles

What is the angular momentum of a system with an angular velocity of 250°/s and a moment of inertia of 0.25 kg·m^2?

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