A5/8-in. (inside) diameter garden hose is used to fill a round swimming pool 4.6 m in diameter. part a how long will it take to fill the pool to a depth of 1.6 m if water issues from the hose at a speed of 0.59 m/s ?

t = 2.26 10⁵ s

Explanation:

Let's calculate the flow of water that comes out of the hose

         Q = A v

The area of a circle is

        A = π r²

       Q = π r² v

Let's reduce the units to the SI system

       d = 5/8 in (2.54 10⁻² m / in) = 1.5875 10⁻² m

       r = d / 2 = 0.79375 10⁻² m

       Q = π (0.79375 10⁻²)² 0.59

       Q = 1.1678 10⁻⁴ m³ / s

Let's calculate the volume of the pool

       V = π R² h

       V = π (4.6 / 2)²  1.6

       V = 26.59 m³

Let's use a rule of proportions (rule of three), to find the time

       t = 26.59 (1 / 1.1678 10⁻⁴)

       t = 22.77 10⁴ s

       t = 2.26 10⁵ s

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

i think the answer is a, hope this is right, that would be my best guess.