In 1993 the radius of Hurricane Emily was about 350 km. The wind speed near the center ("eye") of the hurricane, whose radius was about 30 km, reached about 200 km/h. As air swirled in from the rim of the hurricane toward the eye, its angular momentum remained roughly constant. Part A Estimate the wind speed at the rim of the hurricane. Express your answer using two significant figures. IVE ΑΣΦ v= Submit ▾ Part B Request Answer ΔΡ = ? km/h Estimate the pressure difference at the earth's surface between the eye and the rim. (Hint: The density of air (1 atm, 20 °C) is 1.20 kg/m³.) Express your answer using two significant figures. ΠΕΙΑΣΦ Pa
Angular Momentum
The momentum of an object is given by multiplying its mass and velocity. Momentum is a property of any object that moves with mass. The only difference between angular momentum and linear momentum is that angular momentum deals with moving or spinning objects. A moving particle's linear momentum can be thought of as a measure of its linear motion. The force is proportional to the rate of change of linear momentum. Angular momentum is always directly proportional to mass. In rotational motion, the concept of angular momentum is often used. Since it is a conserved quantity—the total angular momentum of a closed system remains constant—it is a significant quantity in physics. To understand the concept of angular momentum first we need to understand a rigid body and its movement, a position vector that is used to specify the position of particles in space. A rigid body possesses motion it may be linear or rotational. Rotational motion plays important role in angular momentum.
Moment of a Force
The idea of moments is an important concept in physics. It arises from the fact that distance often plays an important part in the interaction of, or in determining the impact of forces on bodies. Moments are often described by their order [first, second, or higher order] based on the power to which the distance has to be raised to understand the phenomenon. Of particular note are the second-order moment of mass (Moment of Inertia) and moments of force.
12.92
![## Problem 12.92
### Description
In 1993, the radius of Hurricane Emily was about 350 km. The wind speed near the center ("eye") of the hurricane, whose radius was about 30 km, reached about 200 km/h. As air swirled in from the rim of the hurricane toward the eye, its angular momentum remained roughly constant.
### Part A:
Estimate the wind speed at the rim of the hurricane.
**Express your answer using two significant figures.**
Input box for \( v \) (velocity):
\[ v = \ \_\_\_\_\ \ \ \text{km/h} \]
**Submit Button**
**Request Answer Button**
### Part B:
Estimate the pressure difference at the earth’s surface between the eye and the rim.
*(Hint: The density of air (1 atm, 20 °C) is 1.20 kg/m³.)*
**Express your answer using two significant figures.**
Input box for \( \Delta P \) (pressure difference):
\[ \Delta P = \ \_\_\_\_\ \ \ \ \ \ \ \ \text{Pa} \]
**Submit Button**
**Request Answer Button**
### Detailed Explanation
There are no graphs or diagrams in this problem, but there are input fields for numerical answers. Each part requires the student to estimate physical quantities (wind speed and pressure difference) using provided hints and given data about the hurricane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3a01406f-5d2c-4d09-8873-592de410e115%2F26544ae6-590e-47d2-9039-129a5043cb12%2Fi3pq98l_processed.png&w=3840&q=75)
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