What is the best estimate for total mass of the rod and

Question

1. For a 20-m long rod. the density. (Ρ) and cross-sectional area, (A) changes along its length as follows:

length, x (m)	0	4	6	8	12	16	20
density, Ρ (g/cm3)	4	3.95	3.89	3.8	3.6	3.41	3.3
area. A (cm2)	100	103	106	110	120	133	150

What is the best estimate for total mass of the rod. [m = ₀∫^L(pA)dx]

2. The force on the mast (height, H) of a sailboat at any height, z above the boat deck is represented by f(z) = 200.(z/z+5)e^-2z/H so that the total force will be F = ₀∫^H f(z)dz.

The point of application of (F) on the mast will be at a distance (d) from the base which can be calculated using the moment of the force as

d = 1/F [₀∫^H z. f(z) dz]

For H = 28. make the best estimates for (F) and (d) using 7 intervals.

3. The heat absorbed by a solar panel can be calculated from H = 0.45 ₀∫^t qAdt

t (hr):	0	1	3	5	7	9	11	14
q (cal/cm2/hr):	0.1	5.32	7.8	8	8.03	6.27	3.54	0.2

Using the above data. determine the heat absorbed by a collector of A = 150000 cm2 during the 14-hr period.

4. The following formula has been developed relating vision loss (V_L) and pressure inside the eye (p, mm Hg) for a person at any age (t, years) above the age of 25:

V_L = 6.98301exp[0.009916 ₂₅∫^t (p-13) dt

Determine the value of V_L for a person of age 65, based on the following:

age, t (yrs)	25	40	50	60	65
p (mm Hg):	13	15	22	23	24

Answer 1

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