Consider the physical quantities s, v, a, and t with dimensions [s] =

Name: Doubtrix
Address: 65, Gayatri Nagar-B, Maharani Farm, Jaipur, Rajasthan, 302018, India
Telephone: +91-6367441917
Price range: $3-$10
Rating: 5

Question

Notify Me Bookmark

Consider the physical quantities s, v, a, and t with dimensions [s] = L, [v] = LT−1, [a] = LT−2, and [t] = T. Determine whether each of the following equations is dimensionally consistent. (a) v2 = 2as; (b) s = vt2 + 0.5at2; (c) v = s/t; (d) a = v/t.

Image text

Consider the physical quantities $s, v$ , $a$ , and $t$ with dimensions $[s] = L, [v] = {L T}^{- 1}, [a] = {L T}^{- 2}$ , and $[t] = T$ . Determine whether each of the following equations is dimensionally consistent. (a) $v^{2} = 2 a s$ ; (b) $s = v t^{2} + 0.5 a t^{2};$ (c) $v = s / t;$ (d) $a = v / t$ .