In the notation of Exercise 17, calculate the fluid force on a side of the plate R if it is oriented as in Figure 13(A).

Data From Exercise 17

Let R be the plate in the shape of the region under y = sin x for 0 ≤ x ≤ π/2 in Figure 13(A). If R is rotated counterclockwise by 90◦ and then submerged in a fluid of density 1100 kg/m³ with its top edge level with the surface of the fluid as in (B), find the fluid force on a side of R.

1 y Fluid level y = sin x R (A) +X -EIN Fluid level (B) R