The speed of sound of a wave c is wavelength lambda times frequency f. The speed of sound in that medium is c = 1500 meters per second. It could be water.
Any wave in any medium, if its frequency is 1000 Hz and its wavelength
is 1.5 m, is propagating at 1,500 meters per second.
Period = 1/frequency = wavelength/speed = 1/20 = 0.05 second = 50 milliseconds
v=f*lambda
v=0.2*1.5=0.3 m/s
C=λv C=(1.6 m) (400 1/sec) C= 640 m/sec
Convert them all into the same unit, for this case let's say cm. 20cm = 20cm 20 inches = 50.8cm 200mm = 20cm When you type 02m, do you mean 2m or 0.2m? 0.2m = 20cm 2m = 200cm If 0.2m, then 20 inches is the longest length. If 2m then that is the longest length.
7km is 350000 times greater than 2cm. Solution: 1. Clarify the question "How many times greater is 7km than 2cm?" 2. Convert both units into meters: 7*1000=7000m, 2*1/100=.02m 3. Divide the big number by the small number: 7000 / .02 = 350000 ====== Answer 1: 100 cm in a m, 1000 m in a km. 3.5 2 in 7. 3.5 * 100*1000 = 350000 centi-meters = 10**-2 meters kilo-meteres = 10**3 meters 2cm < 7km 2*10**-2/7*10**3 = (2/7)*10**-5
V= Q/A (velocity = volumetric flow rate / area) conversion: 1000L = 1m3; therefore 1900L/min= 1.9m3/min V = (1.9m3/min * 1min/60s) / Pi*(.02m)2/4 = 100.798 m/s Simplified Bernoulli Equation: ∆P/rho + 0.5*(initial velocity2-final velocity2) = 0 (rho=density) (equation assumes no fluid height changes and no frictional losses) ∆P/(1000 kg/m3) + 0.5*(02 - (100.798 m/s)2) = 0 ∆P = 5.08x106 N/m2= 5.08x106 Pascals P= F/A (Pressure= Force/Area) F= P*A F= ∆P * Area = 5.08x106 * Pi*(.02m)2/4 = 1595.97N A height of nozzle was not given; however, there is a minimum height when you specify a horizontal distance of 50m. Minimum nozzle height above ground to reach 50 meters horizontal distance: d=r*t (distance= rate * time) t= d / r t= 50m / 100.798m/s = 0.496s (time for a droplet to leave the nozzle and travel 50m horizontally) h= g*t2 (height of a falling object = gravity * time2 assuming spray nozzle is horizontal) h= 9.81m/s2 * (0.496s)2 = 2.41m above grade The minimum height will change if the nozzle is angled up or down. Note: 9.81m/s2 is approximately the earth's gravitational acceleration at sea level at the equator.