UCD Rotating Objects Axis of Rotation Complete Rotations & Velocity Worksheet – Assignment Help

I don’t understand this Environmental Science question and need help to study.

DUE TIME: 02/26/2021 11:59 pm

Note: Please show all work, units, calculations, and intermediate steps, discuss your methods and answers fully. NOTE THAT THIS HOMEWORK IS COPYRIGHTED.

1. Please use the table below to answer Question 1.

Rotating Object

Distance from Axis of Rotation (radius)

Time for One Complete Rotation (Period)

Velocity

Mesocyclone air parcel

R1=2.0 km

59.8 minutes

V1 m/s=?

Tornado air parcel

R2=100 m

x seconds

V2 m/s=?

(a) Calculate the final velocity V2 of an air parcel that starts out in a mesocyclone (2.0 km radius, 59.8 minutes rotation time) and spirals inwards to be an air parcel in a tornado (100 m radius), given the mesocyclone data. For this part, you’re to calculate the final velocity V2 using the conservation of angular momentum.

Hint: the air parcel velocity in meters/second = the circumference of the circle (measured in meters) divided by the time to complete one rotation (the period) measured in seconds. Remember the general equation for the circumference is LaTeX: 2pi R

2

π R . You’ll need to use this equation to determine the wind speed (velocity) V1 in the mesocyclone first, so that you can use that velocity in the conservation of angular momentum equation to calculate V2.

(b) For (a), calculate the time (in seconds) for one rotation of the tornado. The time for one rotation = LaTeX: frac{2pi R_2:}{V_2}

2

π R 2 V 2.

(c) Identify the EF scale rating for the tornado based on the velocity V2 that you calculated in part (a). Assume that the value you have calculated for the wind speed is the same as the “3 second gust” wind speed. The conversion from m s-1 is: Multiply wind speed given in m s-1 by 2.24 to get the wind speed in mph.

Question 2: CHOOSE EITHER (2a) OR (2b), please do not do both!

2a) Tornadoes move at an average speed of 15 m s-1. How long do EF3 tornadoes, stay on the ground, on the average (please report your answer in seconds, and in hours)? Hint: use the tornado path length for EF3 tornadoes, and their average speed, to determine how long they last. Remember, Speed = Distance/time.

2b) Based on the materials presented in lecture, briefly discuss the three different methods used by the Bukowski, Hernandez, and LaFrance families to attempt to survive the EF5 Jarrell, Texas tornado.

(i) Which family followed the safest method to survive an EF5 tornado, and what was that method?

(ii) Which family followed a method that might enhance survival for an EF2 or lower intensity tornado, but was not entirely successful for this EF5 tornado, and what was that method?

(iii) Which family followed a method that is generally risky, but was luckily successful in this case, and what was that method? Why was it successful in this case?

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