Freezing level in a cloud Refer to Exercises.Air temperature Below the cloud base, the air...

Freezing level in a cloud Refer to Exercises.

Air temperature Below the cloud base, the air temperature T (in °F) at height h (in feet) can be approximated by the equation, where T0 is the temperature at ground level.

(a) Determine the air temperature at a height of 1 mile if the ground temperature is 70°F.

(b) At what altitude is the temperature freezing?

Height of a cloud The height h (in feet) of the cloud base can be estimated using h = 227(T −D),where T is the ground temperature and D is the dew point.

(a) If the temperature is 70°F and the dew point is 55°F, find the height of the cloud base.

(b) If the dew point is 65°F and the cloud base is 3500 feet, estimate the ground temperature.

A cloud’s temperature The temperature T within a cloud at height h (in feet) above the cloud base can be approximated using the equation ,where B is the temperature of the cloud at its base. Determine the temperature at 10,000 feet in a cloud with a base temperature of 55°F and a base height of 4000 feet. Note: For an interesting application involving the three preceding exercises, see Exercise in the Discussion Exercises at the end of the chapter.

(a) Approximate the height of the freezing level in a cloud if the ground temperature is 80°F and the dew point is 68°F.

(b) Find a formula for the height h of the freezing level in a cloud for ground temperature G and dew point D.