Question

acceleration. SOLUTION Write an expression for a with a dimensionless constant of proportionality k. (Use the following as necessary: v, r, k, n, and m.) a = kv Substitute the dimensions of a, r, and v. (Use the following as necessary: n, m, L, and T.) (L)/(T^(2)) = L^(n)((L)/(T))^(m) Equate the exponents of L and T so that the dimensional equation is balanced: n + m = 2, and m = 1 Solve the two equations for n: n = 1 Write the acceleration expression. (Use the following as necessary: v, r, and k.) EXERCISE Hint E = k(m^(2))/(v) E = km^(2)v E = k(m)/(v^(2)) E = kmv E = kmv^(2) SOLUTION L, and T.) EXERCISE Hint OE = km OE = K OE = km2

Name: acceleration solution write an expression for a with a dimensionless constant of proportionality k use the following as necessary v r k n and m a kv substitute the dimensions of a r and v us 33424
Uploaded: 2023-05-26T09:26:08-08:00
Duration: 2 min 4 s
Channel: Madhur L
Description: acceleration solution write an expression for a with a dimensionless constant of proportionality k use the following as necessary v r k n and m a kv substitute the dimensions of a r and v us 33424

          acceleration.
SOLUTION
Write an expression for a with a dimensionless constant of proportionality k. (Use the following as necessary: v, r, k, n, and m.)
a = kv
Substitute the dimensions of a, r, and v. (Use the following as necessary: n, m, L, and T.)
(L)/(T^(2)) = L^(n)((L)/(T))^(m)
Equate the exponents of L and T so that the dimensional equation is balanced:
n + m = 2, and m = 1
Solve the two equations for n:
n = 1
Write the acceleration expression. (Use the following as necessary: v, r, and k.)
EXERCISE
Hint
E = k(m^(2))/(v)
E = km^(2)v
E = k(m)/(v^(2))
E = kmv
E = kmv^(2)
SOLUTION
L, and T.)
EXERCISE
Hint
OE = km
OE = K
OE = km2

acceleration solution write an expression for a with a dimensionless constant of proportionality k use the following as necessary v r k n and m a kv substitute the dimensions of a r and v us 33424

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