The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by the following equation, where l is the length of the pendulum and g is acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. T=2π√l/g

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)