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ship 2.2. The temperature at a point 50 km north of a station is 3°C cooler than at the station. If the wind is blowing from the northeast at 20 m s-1 and the air is being heated by radiation at the rate of 1°C h-1, what is the local temperature change at the station? Dorvo the relationshin

ship 2.2. The temperature at a point 50 km north of a station is 3°C cooler than at the station. If the wind is blowing from the northeast at 20 m s-1 and the air is being heated by radiation at the rate of 1°C h-1, what is the local temperature change at the station? Dorvo the relationshin

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Problem 2.2. Please help me solve problem 2.2 ty!
Problems 65 PROBLEMS 21. A ship is steaming northward at a rate of 10 km h-1.The surface pressure increases toward the northwest at the rate of 5 Pa km-1. What is the pres- sure tendency recorded at a nearby island station if the pressure aboard the ship decreases at a rate of 100 Pa/3 h? 2.2. The temperature at a point 50 km north of a station is 3°C cooler than at the station. If the wind is blowing from the northeast at 20 m s-1 and the air is being heated by radiation at the rate of 1°C h-1, what is the local temperature change at the station? 2.3. Derive the relationship 2 x (2 x r) = –2²R which was used in Eq. (2.7). 2.4. Derive the expression given in Eq. (2.13) for the rate of change of k following the motion. 2.5. Suppose a 1-kg parcel of dry air is rising at a constant vertical velocity. If the parcel is being heated by radiation at the rate of 10-1w kg-1, what must the speed of rise be to maintain the parcel at a constant temperature? 2.6. Derive an expression for the density p that results when an air parcel initially at pressure p, and density Ps expands adiabatically to pressure p. 2.7. An air parcel that has a temperature of 20°C at the 1000-hPa level is lifted dry adiabatically. What is its density when it reaches the 500-hPa level? 0. Suppose an air parcel starts from rest at the 800-hPa level and rises verti- cally to 500 hPa while maintaining a constant 1°C temperature excess over the environment. Assuming that the mean temperature of the 800- to 500- ra layer is 260 K, compute the energy released due to the work of the buoyancy force. Assuming that all the released energy is realized as kinetic ehergy of the parcel, what will the vertical velocity of the parcel be at 500 hPa? Jance rate (i.e., constant
Transcribed Image Text:Problems 65 PROBLEMS 21. A ship is steaming northward at a rate of 10 km h-1.The surface pressure increases toward the northwest at the rate of 5 Pa km-1. What is the pres- sure tendency recorded at a nearby island station if the pressure aboard the ship decreases at a rate of 100 Pa/3 h? 2.2. The temperature at a point 50 km north of a station is 3°C cooler than at the station. If the wind is blowing from the northeast at 20 m s-1 and the air is being heated by radiation at the rate of 1°C h-1, what is the local temperature change at the station? 2.3. Derive the relationship 2 x (2 x r) = –2²R which was used in Eq. (2.7). 2.4. Derive the expression given in Eq. (2.13) for the rate of change of k following the motion. 2.5. Suppose a 1-kg parcel of dry air is rising at a constant vertical velocity. If the parcel is being heated by radiation at the rate of 10-1w kg-1, what must the speed of rise be to maintain the parcel at a constant temperature? 2.6. Derive an expression for the density p that results when an air parcel initially at pressure p, and density Ps expands adiabatically to pressure p. 2.7. An air parcel that has a temperature of 20°C at the 1000-hPa level is lifted dry adiabatically. What is its density when it reaches the 500-hPa level? 0. Suppose an air parcel starts from rest at the 800-hPa level and rises verti- cally to 500 hPa while maintaining a constant 1°C temperature excess over the environment. Assuming that the mean temperature of the 800- to 500- ra layer is 260 K, compute the energy released due to the work of the buoyancy force. Assuming that all the released energy is realized as kinetic ehergy of the parcel, what will the vertical velocity of the parcel be at 500 hPa? Jance rate (i.e., constant
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