Aspherical tank (radius r) is initially completely filled with water. at the bottom of the tank a small opening is made to empty the tank (diameter d). the diameter of the exiting jet is equal to the hole diameter d (see the figure for a schematic picture of this tank). the flow can be considered steady, incompressible and inviscid. a vent at the top of the tank ensures atmospheric pressure in the tank a) draw the streamlines in the exiting jet and use this to explain what the pressure must be in the exiting jet b) show that the relationship between r(t), h(t) and r, is given by r(t)=(2h(t)r -h( c) derive the equation for the velocity of the exiting jet (assume r d) d) find the equation to describe the height of the water level h as function of time t, h(t). if it is easier to express time as a function of height t(h), (which is mathematically the same), that is also allowed e) if the the tank radius is r = 1 m and the hole diameter d = 1 cm, how much time will it take to empty the complete tank? po r(t) r gg h(t) spherical tank with its relevant dimensions

A150 w lamp emits light of wavelength 590 nm uniformly in all directions. what is the photon flux (photons per unit area per unit time) on a small screen at a distance 2.3 m from the lamp? assume the photons are uniformly distributed over the surface of a sphere of radius 2.3 m.

I'm kinda lost ! 1. when marilyn takes her pet dog for a walk, the dog walks at a veryconsistent pace of 0.55 m/s. draw a position-time graph to representmarilyn's dog walking the 19.8 m distance from the front of her house tothe nearest fire hydrant.2. both car a and car bleave school when a stopwatch reads zero. car atravels at a constant 75 km/h, and car b travels at a constant 85 km/h.a) draw a position-time graph showing the motion of both cars. howfar are the two cars from school when the stopwatch reads 2 hrs? calculate the distances and show them on your graph.b) both cars passed a gas station 120 km from the school. when dideach car pass the gas station? calculate the times and show themon your graph.3. the figure below shows the position-time graph showing a shopper'smovement up and down the aisle at a store.a) write a story describing the shopper's movements at the store.b) when does the shopper have a position of 6 m? c) how much time passes between when the shopper enters the aisleand when he gets to a position of 12 m? what is the shopper's averagevelocity between 37 s and 46 s?

Gasoline comes from petroleum, which is made from ancient living things. petroleum, therefore, contains a type of energy. a. heat b. nuclear c. biological d. chemical potential