DA Type 2 Assignment скачать в хорошем качестве

DA Type 2 Assignment

Q1. The escape velocity v of a body depends upon: (i) the acceleration due to gravity (g) of the planet, (ii) the radius (R) of the planet. Establish dimensionally the relation between them. Q2. A body of mass m is moving in a circle of radius r with angular velocity ω. Find the expression for centripetal force acting on it using method of dimensional analysis. Q3. The terminal velocity depends upon weight (mg) and radius r of a ball. It also depends upon the coefficient of viscosity ƞ. By the method of dimensions, determine the relation expressing terminal velocity. Q4. Assuming that the mass m of the largest stone that can be moved by a flowing river depends on velocity v, density ρ and acceleration due to gravity g, show that m varies with the sixth power of velocity of flow. Q5. The velocity of a body which has fallen freely under gravity varies as gphq where ‘g’ is the acceleration due to gravity and ‘h’ is the height which the body has fallen from. Determine the values of p and q. Q6. Calculate the dimensions of Force and Impulse in terms of velocity v, density  and frequency ν as fundamental units Q7. If force (F) acceleration (A) and time (T) are taken as fundamental units, then find the dimension of energy. Q8. The velocity v of water waves may depend on their wavelength λ, density of water ρ and the acceleration due to gravity g. Find relation between these quantities by the method of dimension. Q9. If velocity, time and force were chosen the basic quantities, find the dimensions of mass?