At a festival, spherical balloons with a radius of are to be inflated with hot air and released. the air at the festival will have a temperature of and must be heated to to make the balloons float. of propane fuel are available to be burned to heat the air. calculate the maximum number of balloons that can be inflated with hot air. here are some data you may find useful: specific heat capacity of air: density of air at : density of propane at : formation enthalpy of propane at : any other data you need should be taken from the aleks data resource.

An electrical motor raises a 50kg load at a construct velencity .calculate the power of the motor, if it takes 40sec to raise the load through a height of 24m(take g =9.8n/g)

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

Afluid flows with a velocity field given by v=(x/t)i.. determine the local and convective accelerations when x=3 and t=1.