the period of a simple pendulum, defines as the time necessary for one complete oscillation, is measured in time unites and is given by... (draw it out) where L is the length of the pendulum and G is the acceleration due to gravity , in units of length divided by time squared. show that this equation is dimensionally consistent.

The period of a simple pendulum, defined as the time necessary for one complete oscillation, is measured in time units and is given by where ℓ, is the length of the pendulum and g is the acceleration due to gravity, in units of length divided by time squared. Show that this equation is dimensionally consistent. (You might want to check the formula

The dimensional homogeneity of the equation S = ut + 1/2 ut square is L prove that this assertion is true

The period T of a simple pendulum is the amount of timerequired for it to undergo one complete oscillation. If the lengthof the pendulum is L and the acceleration of gravity is g, then T isgiven by T = 2pLpgq. Find the powers p and q required for dimensional consistency.

Show that, when SI units for µ0 and ε0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.

Solve the following problem by writing complete solutions with corresponding units and by using the constant value.

The period T of a clock pendulum(time for one full swing and back) is given by the formulaT2 = 4π2L/g, where T is measured in seconds, g = 32.2 ft/sec2,and L, the length of the pendulum, is measured in feet. Find approximately the amount the clock gains or loses in a day as a result of the period’s changing by the amount dT

The dimensional homogeneity of the equation a is L; prove that this assertion is true.

The period of a simple pendulum, defined as the time necessary for one complete oscillation is measured in time units and is given byT = 2π√√?/?Derive an equation for the length (l)

write the solution step by step and clearly.Answer Number 2.