In aviation, it is helpful for pilots to know the cloud ceiling, which is the distance between the ground and lowest cloud. The simplest way to measure this is by using a spotlight to shine a beam of light up at the clouds and measuring the angle between the ground and where the beam hits the clouds. If the spotlight on the ground is 0.75 km from the hangar door as shown in the image below, what is the cloud ceiling? 20° 0.75 km

The density of atmospheric air varies with elevation (2), decreasing with increasing altitude. a) Using the date given in Table 2, obtain a relation for the variation of density (p) with elevation (2). Assume the earth to be a perfect sphere with a radius (r) of 6377 km and the thickness of the atmosphere is 25 km as illustrated in Figure 1. b) Calculate the density of atmosphere air at an elevation of 7000 m. Atmosphere thickness = 25 km Earth radius, r= 6377 km www 6381 were 6382 Table 2: Density of atmosphere related to earth radius. Radius r, km 6377 6378 6379 6380 6383 6385 6387 6392 6397 6402 *r=z+6377 km Find density of air a Earth surface Density p. kg/m³ 1.225 1.112 7 km 1.007 0.9093 0.8194 0.7364 0.6601 0.5258 0.4135 0.1948 0.08891 0.04008

Antarctica is roughly semicircular, with a radius of about r = 1950 km (see figure below). The average thickness of its ice cover is h = 3050 m. How many cubic centimeters of ice does Antarctica contain? (Ignore the curvature of Earth.) cm3

The volume of air in one beach ball is 972? in3. What is the volume of air in a ball whose radius is 3 inches greater than the first beach ball? A beach ball is spherical in shape. Recall that the formula for the volume V of a sphere where r is the radius is given by the following formula. V=4/3?r3 It is given that the volume of the first beach ball is 972? in3. Substitute this value for V in the volume formula for a sphere. ______= 4/3?r3

Q:27)

A student from Isabela State University launched a rocket that has a payload of atmospheric sensors. The payload contains an altimeter and a digital barometer. From one of the University’s class room where they built a data receiving area, the altimeter sends 10 values of altitude, 5600 ft, 5000 ft, 4600ft, 4100 ft, 3800 ft, 3500 ft, 3150 ft, 2900 ft, 2300 ft, and 1300 ft. But the data of the barometer wasn’t sent because of a circuit anomaly. But the programmer assured that it will be recorded in the memory inside the payload’s microcontroller. Assuming the air density to be 1.18 ??/?3, what pressure we should expect depending on the data sent by the altimeter?

Calculate the angle a person needs to lean from the vertical when 1. walking a 14 m (radius) circular track at 22 mins per mile, and Enter to 2 significant figures Angle with respect to the vertical = = 0.85 ! No, that's not the correct answer. O 2. running at 4 min per mile. Enter to 2 significant figures Angle with respect to the vertical = 6.8 Use 1 mile = 1609.4 m Sense-making: Do your results for the leaning angle during walking agree with your observations about people walking on circular tracks? O

Compare the following lengths using density calculations. Gold has a density of about 19.3 g/cm3. You are now given a cubed piece of gold that has a mass of 19.3 g in the form of a cube is 1 cm long on each side. If we now double the mass of gold to 38, 6 g then what would be the length of the sides of a cube that has twice this mass of gold?

Write the scientific notation (10n) 0012 = 560000 =             Write out the number 3 x 104 = 8 x 10-2 =   How many centimeters are in 2 kilometers? Write your answer in scientific notation.                 How long would it take in minutes to travel 5km if you are traveling at a speed of 30 m/s?                 A ship left shore 3 days ago and has been moving at a constant speed. The cruise ship is now 1440 miles away. What is the average speed in mph?                       5a. A tuning fork has a period of 4s. What is the frequency?             5b. If the tuning fork above is struck in air, what is the wavelength?               5c. If the tuning fork above is struck in water, what is the wavelength?               The wave below is traveling at 5 m/s.   6a. What are the wave y(x) and oscillator y(t) sinusoid equations for this wave?           What is a sound wave?                 Identify where the compressions and the rarefactions are in both graphs.…

Is it possible to measure altitude with a barometer?