At the northern tropic which you may take to be at 23 degrees north, air rises directly upwards from the surface of the Earth due to thermal forces at a speed of 30 m/s. What is the magnitude of the Coriolis and Centrifugal acceleration felt by the rising air due to the rotation of the Earth? (You may take the radius of the earth to be 6.37 million meters).
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- Consider a football thrown directly northward at a latitude of 40◦N. The distance of the quarterback from the receiver is 20 yards (18.5 m), and the speed of the thrown ball is 25 m/s.Does the Coriolis effect deflect the ball to the right or to the left? By what amount (in meters) is the ball deflected? Does the receiver need to worry about correcting for the deflection, or should he be more worried about being nailed by the free safety? (Hint: The angular velocity~ω of the Earth’srotation is parallel to the rotation axis.Chapter 21 and 22, Problem 2You're flying from Joint Base Lewis - McChord (JBLM) to an undisclosed location 176 km south and 113 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
- Weight w are fired from a giant cannon made by a shooting club. In early tests of the cannon, pointed straight up, the people want to shoot a projectile to an altitude of 1.5RE, where RE is the radius of the earth. Dismiss the effects of air resistance and the rotation of the earth. (Note: g = GME/RE2, where G is Newton’s gravitational constant, ME is the mass of the earth and RE is the radius of the earth.) What must the muzzle speed of the projectile be for it to get this high? What is the speed of the projectile when it returns to the surface of the earth (just before hitting the ground)?(a) When a communication satellite is placed in a geosynchronous orbit above the equator, it remains fixed over a given point on the ground. Is it possible to put a satellite into an orbit so that it remains fixed above the north pole? Explain. (b) Rockets are launched into space from Cape Canaveral in an easterly direction. Is there an advantage to launching to the east versus launching to the west? Explain. (c) If you light a candle on the International Space Station (which would not be a good idea) would it burn the same as on the earth? Explain.You are watching a TV news program when they switch to some scenes taken aboard the space shuttle which circles 500 miles above the Earth once every 95 minutes. To allow the audience to appreciate the distances involved, the announcer tells you that the radius of the Earth is about 4000 miles and the distance from the Earth to the Moon is about 250,000 miles. When an astronaut drops her pen it floats in front of her face. You immediately wonder how the acceleration of the dropped pen compares to the acceleration of a pen that you might drop here on the surface of the Earth.
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