Home » Make t the subject of formula (k = msqrt{frac{t-p}{r}})

Make t the subject of formula (k = msqrt{frac{t-p}{r}})

Make t the subject of formula (k = msqrt{frac{t-p}{r}})

  • A.
    (frac{rk^2 + p}{m^2})
  • B.
    (frac{rk^2+pm^2}{m^2})
  • C.
    (frac{rk^2-p}{m^2})
  • D.
    (frac{rk^2-p^2}{m^2})
Correct Answer: Option B
Explanation

(k = msqrt{frac{t – p}{r}})

(frac{k}{m} = sqrt{frac{t – p}{r}})

((frac{k}{m})^2 = frac{t – p}{r})

(rk^2 = m^2 (t – p))

(therefore m^2 t = rk^2 + m^2 p)

(t = frac{rk^2 + m^2 p}{m^2})