Chapter 1-Challenging Questions

Issue 1

a) Condition three SI base models other than the kilogram and second. b) Show that the SІ devices of energy per unit volume level are kilogram m–1 s–2. c) For a wire extended elastically, the elastic strength per product volume Back button is given by X sama dengan Cε 2E

where C is a regular,

ε may be the strain in the wire (dimensionless), and

Elizabeth is the physical quantity of Pascal.

Show that C does not have any units.

Query 2

a) Determine the SI basic units of power.

b) Fig. 1 . 1 shows a turbine that is used to create electrical power from the wind.

The energy P offered from the wind is given simply by

P = CL2ρv three or more

where M is the duration of each cutter of the generator,

ρ is the density of air,

v is the blowing wind speed,

C is a continuous.

i. Show that C has no devices.

ii. The length L of every blade in the turbine is 25. zero m plus the density, ρ of surroundings is 1 . 30 in SI devices. The constant C is 0. 931. The efficiency in the turbine is definitely 55% and the electric power output P is definitely 3. 40 × a hundred and five W. Determine the wind velocity.

Question several

a) Condition the DANS LE CAS OU base products of volume.

b) Present that the DANS LE CAS OU base models of pressure are kg m–1 s–2. c) The volume V of liquid that flows through a pipe in time t is given by the formula

where G is the pressure difference between your ends in the pipe of radius ur and span l. The constant C depends on the frictional associated with the liquid. Determine the camp units of C.

Question 4

a) A cylindrical disc is usually shown in Fig. 1 . 1 .

The disc features diameter twenty-eight mm and thickness doze mm.

The fabric of the disk has denseness 6. eight × 103 kg m-3.

Calculate, to two significant numbers, the weight of the compact disk.

b) Enough time T for the satellite to orbit our planet is given simply by

where L is the distance of the dish from the centre of the The planet, M is the mass of the Earth, and K is known as a constant. Determine the DANS LE CAS OU base units of T.