Answer:
T = T
Explanation:
The period of a simple pendulum is given by the formula
Where
l - length of the pendulum
g - acceleration due to gravity
The dimension of the physical quantities are given by,
t - T
l - L
g - m/s² - LT⁻²
Substituting in the above equation,
T = 2π √(L / LT⁻²)
Considering only the dimensional units in the equation
T = √(L / LT⁻²)
T = T
This shows that the formula for a simple pendulum is dimensionally consistent, T = T
Answer:
4.7 x 10³ rad / s
Explanation:
During the time light goes and comes back , one slot is replaced by next slot while rotating before the light source
Time taken by light to travel a distance of 2 x 500 m is
= (2 x 500) / 3 x 10⁸
= 3.333 x 10⁻⁶ s .
In this time period, two consecutive slots come before the source of light one after another by rotation. There are 400 slots so time taken to make one rotation
= 3.333 x 10⁻⁶ x 400
= 13.33 x 10⁻⁴ s
This is the time period so
T = 13.33 X 10⁻⁴
Angular speed
= 2π / T
=
4.7 x 10³ rad / s