Question 3:

(REVERSE)

w = y – M/(365/31) = 83058977

w = M – d/31 = 4

w = d – h/24 = 7

w = h – m/60 = 2

w = m – s/60 = 40

w = s – cs/100 = 0

T^2 = A/B = 10^36 as²

a. What is the value of y?

b. What are the magnitudes of T^1, T^-1 and T^-2?

c. What are the values of A, B and t?

Answer:

a.

m/60 = 40/60 = 2/3

h = w + m/60 = 2 + 2/3 = 8/3

h/24 = (8/3)/24 = 1/9

d = w + h/24 = 7 + 1/9 = 64/9

d/31 = (64/9)/31 = 64/279

M = w + d/31 = 4 + 64/279 = 1180/279

M/(365/31) = (1180/279)/(365/31) = 236/657

y = w + M/(365/31) = 83058977 + 236/657 = 54569748125/657

b.

T^1 = √(A/B)= 10^18 as

T^-1 = √(B/A) = 10^-18 Es

T^-2 = B/A = 10^-36 Es²

c.

t = A/T^1 = y × 31536000 = 2.61934791 × 10^15 s

X = 2.61934791

A = t/T^1 = X × 10^15 x 10^18 = X × 10^33 as

B = A/T^2 = X × 10^33 / 10^36 = X × 10^-3 Es

Hand written example: