Question

# 1. a) Linearize the following equation where L and T are the variables: T = 2π s L g . b) What are the slope and

intercept of your new equation? c) Check that your new equation is dimensionally correct (L is a length, g is an acceleration, and T is a time). 2. a) Linearize the following equation where s and t are the variables: s = vt + 1 2 at2 . 16 116 Hill, v. Doetinchem Laboratory Manual for PHYS151L/170L University of Hawai’i at M¯anoa b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (s is a distance, v is a velocity, a is an acceleration, and t is a time). 3. a) Linearize the following equation where D and h are the variables: D = √ 4Lh. b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (D is a distance, L is a distance, and h is a distance). 4. a) Linearize the following equation where T and m (not me) are the variables: T = 2π r m k + me k b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (m is a mass, me is a mass, T is a time, and k has dimensions of force divided by length).

so so it we take, They and MIX them we
Can write egh ( 6 ) as
K’se – – ( 7 )
Here egn (?) is a linear egh,
( 6) we can write egn ( 7) as-
31 = mu + c
where slope, m = 412
K
and intercept e = 0.
(e)…Science