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It then increases its speed to 7v while traveling along the same circular path. By what factor has the centripetal acceleration of the particle changed? By what factor has the period of the particle
Determine (a) the exit velocity of the nitrogen and (b) the ratio of the inlet to exit area A1/A2. Assume constant specific heat.
Determine the first time (greater than zero) that the position is at its maximum value. Set the argument of the sine or cosine function to the value that satisfies the stated condition, and solve for
Determine the radius of the orbit and the speed of the rocket from the requirement that the centripetal force keeping the rocket in orbit is the gravitational force.
Find the angular frequency rad/s Identify the total mass that is moved back and forth by the spring, and use the mass and spring constant to calculate the angular frequency.
If we want to propel a portion of the rocket to infinity (in the direction tangential to the circular orbit), what's the escape speed from there?
Calculate the mass of the Sun noting that the period of the Earth's orbit around the Sun is 3.156 107 s and its distance from the Sun is 1.496 1011 m.
The hiker tries to signal the pilot by sending transverse pulses up the cable. A pulse takes 0.250 s to travel the length of the cable. What is the acceleration of the helicopter?
The weight of the empty car is 0.4 lb and it holds 2 lb of water. Knowing the top speed of the car is 8 ft/s determine the relative velocity of the water that is being ejected.
Hydrogen gas at 2 atm and 27C is flowing in a neoprene tube 3 mm inside diameter and 11 mm outside diameter. Calculate the leakage of hydrogen through a tube 1 m long in kg mol/s at steady state.
How do you estimate the true strain at the tensile strength condition given only a simple stress-strain curve of a material? Could you please show a simple example with numbers?
The design requires that if temperature increases by 1degreeC, the mercury column in capillary increases by 1cm at least. What is the maximum diameter of capillary?
Derive the variation of transmitted X-Ray intensity as a function of Incident intensity, thickness, density and mass absorption coefficient.
Christian Huygens (1629-1695), the greatest clockmaker in history, suggested that an international unit of length could be defined as the length of a simple pendulum having a period of exactly 1 s.
Calculate the escape speed from the Earth for a 4800 kg spacecraft and determine the kinetic energy it must have at the Earth's surface to move infinitely far away from the Earth. What is its orbita
Using the known radius of the Earth and that g = 9.80 m/s2 at the Earth's surface, find the average density of the Earth. Determine the average density of the planet.
What is the weight of the space station when in orbit? At what altitude is the space station's weight 65% of its value on Earth's surface?
What is the acceleration of the helicopter? Neglecting stiffness, how long does it take for a signal to reach the helicopter if it accelerates at 0.750 m/s2 upwards? t = s.
The torque is found to have the same magnitude but in the opposite direction of the torque found there. What are the components of the force?
At the exit, the pressure is 0.1 bar, the quality is 0.9 (90%), and the velocity is 50 m/s. Calculate the rate of heat transfer between the turbine and surroundings, in kW.
If the head loss in 30 m (100 ft) of 75 mm (3 in.) pipe is 7.6 m (25 ft) when a certain quantity of water flows therein, what is the total dragging force exerted by the water on this reach of pipe?
It enters this nozzle at 100 psia, 200oF with a velocity of 100 ft/s and exits at 25 psia. Calculate the exit temperature and velocity of the air.
Carbon dioxide is compressed in a reversible, adiabatic process from 15 psia, 70oF to 60 psia using a steady-flow device with a single inlet and single outlet.
Which of the two choices - air with an isentropic efficiency of 90% or helium with an isentropic efficiency of 80% - will produce the most work?