Thursday

August 21, 2014

August 21, 2014

Posted by **Anonymous** on Saturday, April 28, 2012 at 1:27pm.

A fountain in a shopping centre has a single jet of water. The height of the jet of water varies according to a sinusoidal function. A student notes that, in exactly one minute, the jet goes from a minimum height of 2m to a maximum height of 6m and back to 2m.

At 13:00, the jet of water is at a height of 2m.

What will be the height of the jet of water, to the nearest tenth of a metre, when the clock reads 13:12:40? (13hr, 12min, 40sec). Thanks a lot!

- trig problem -
**Henry**, Monday, April 30, 2012 at 3:05pmF = 1c/min = 1rev/min. = Frquency.

P = 1/F = 1min/rev. = The period.

T = 13:12:40 - 13:0:0 = 12min,40s. =

12 2/3 min. = 38/3 min.

1rev/min * (38/3)min = 12 2/3 rev.

(2/3)rev * 360Deg/rev = 240 Deg.

Ar=240-180 = 60 Deg.=Reference angle.

h = hmax*sinAr = 6*sin60 = 5.2 m.

**Related Questions**

Application prob. for Trig. - Hi, A fountain in a shopping centre has a single ...

physics - A fountain reaches a height of 140 m. The pumps provide 0.50 m^3/s of ...

algebra - Jet #1 leaves an airport at 600 km/h. Jet #2 leaves 3/4 hour after jet...

mechanics - Consider a jet of water striking a vertical wall horizontally a ...

mechanics - Consider a jet of water striking a vertical wall horizontally a ...

fluid - a tap discharge water evenly in a jet at a velocity of 2.6 m/s at the ...

trig - jet stream which is flowing at a rate of 80 miles per hour. It travels ...

physics - when a transparent vessel is is filled with water and a jet flows out ...

trig - A plane climbs into the jet stream which is flowing at a rate of 80 miles...

physics - a drinking fountain projects water at an initial angle of 50 degrees ...