Salt water with a density of 6 = 0.25 g/ cm flows over the curve r(t) = /5ti+ 2ij. Osts5, according to the vector field F=öv, vhere v= xyi + (x-y)j is a velocity field measured in centimeters per second. Find the flow of F over the curve r(t).

An oil circulates through a pipe (SG = 0.85), if the speed of the oil is 20 m / s and the diameter of the pipe is 10 cm, determine the mass flow of the oil (in Kg / s) in the pipe.

(a) Assuming that each cubic centimeter of water has a mass of exactly 1 g, find the mass of 6.67 cubic meter of water. (b) Suppose that it takes 12.7 hours to drain a container of 50.5 m³ of water. What is the "mass flow rate," of water from the container?

(a) Assuming that each cubic centimeter of water has a mass of exactly 1 g, find the mass of 8.88 cubic meter of water. (b) Suppose that it takes 15.5 hours to drain a container of 87.0 m3 of water. What is the "mass flow rate," of water from the container?

An airplane is flying in the direction of 30° west of north. Windis blowing at 40 miles per hour from the south.a) What is the projection of the wind vector in the direction the airplaneis headed?b) What is the projection of the wind vector in the directionperpendicular to the direction the airplane is headed?

The heart of a resting adult pumps blood at a rate of 5.00 L/min. a. Convert this to cm^3/s.b. What is this rate in m^3/s?

The Ekman number, Ek, arises in geophysical fluid dynamics. It is dimensionless parameter combining seawater density ρ, a characteristic length L, Seawater viscosity μ, and the Coriolis frequency Ωsinφ, where Ω is the rotation rate of the earth and φ is the latitude angle. Determine the correct form of Ek if the viscosity is in the numerator.

A car travels 120 km [W] from London to Hamilton. It then travels 40 km [E] to Brantford. What is the displacement of the car?

show that v^2/r has dimensions of m/s^2

The blood flow rate through the aorta is measured to be 107.3 cm^3/s, and an adult is measured to have 5.02 L of blood. How long does it take for all of your blood to pass through the aorta?   If the adult's aorta has a diamter of 2.05 cm, what is the speed of blood as it flows through the aorta?