A horizontal pipe of diameter d1 = 10 cm carrying water has a constriction of diameter d2 = 4 cm. If P1 = 105 Pa and P2 = 8 × 104 Pa, what is the flow rate?
Find the lift on an airplane wing of area 50 m^2 if the velocity of air at the upper and lower parts is 90 m/s and 70 m/s respectively. Assume ?air = 1.16 kg/m^3.
A vertical tube of radius 1 cm, open at the top to the atmosphere, contains 2 cm of oil (?oil = 0.82?water) floating on 3 cm of water. What is the gauge pressure (i.e., pressure in excess of the atmospheric) at the bottom.
Write the equation for a wave moving along +x with a amplitude .4m, speed 6m/s and frequency 17Hz. If these are waves on a string with mass per unit length µ = .02kg/m, what is the u, the energy per unit length ? What is the power being fed into the vibrating string?
Consider a particle attached to a spring executing a motion x = A sin(?t + ?) with A = .32 m. At t = 0, it is at x = ?.07m and a velocity ?2m/s. The total energy is 5.6J. Find (i) ?, (ii) f the frequency, (iii) k and (iv) m
A steel beam of mass M and length L is suspended at its midpoint by a cable and executes torsional oscillations. If two masses m are now attached to either end of the beam and this reduces the frequency by 10%, what is m/M?
The earth and sun are 8.3 light-minutes apart. Ignore their relative motion for this problem and assume they live in a single inertial frame, the Earth-Sun frame. Events A and B occur at t = 0 on the earth and at 2 minutes on the sun respectively. Find the time difference between the events according to an observer moving at u = .8c from Earth to Sun. Repeat if observer is moving in the opposite direction at u = .8c.
A mass m tethered to a massless string is spinning in a vertical circle, keeping its total energy constant. Find the difference in the (magnitude of ) the tension between the top most and bottom most points.
A bullet of mass m moving at horizontal velocity v strikes and sticks to the rim of a wheel (a solid disc) of mass M, radius R, anchored at its center but free to rotate. Which of energy, momentum and angular momentum is conserved for the bullet+wheel system? Give a few words of explanation.
Write an equation expressing the following scenario. Be sure to define variables and constants and to give units for each. The number of troops necessary to patrol an area after combat units are with- drawn is proportional to the 1/2 power of the area being patrolled and inversely proportional to the length of time after the withdrawal.
