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DKT113 Engineering Physics Semester 1 Session 2010/11 TUTORIAL 1 1. What is unit and dimension? 2. (a) Give a basic definition of International System of Units (SI units). (b) State TWO (2) systems of SI units. 3. (a) State SEVEN (7) base quantities with symbol of quantities and SI units. (b) State FIVE (5) derived quantities with symbol of quantities and SI units. 4. You are told that the volume of sphere is given by V d / 4 , where V is the volume and d is the diameter of the sphere. Is the equation dimensionally correct? 3 5. The speed v of the wave pulse on the string is dependent on the force FT, mass m and the string length L, which may be written as v FTa m b Lc Determine a, b, and c, and write the final expression for the equation above. 6. Show that the expression given below is dimensionally correct. In this expression, P0 is pressure, is wavelength, is density, v is speed and A is surface area. P0 2 2 v 2 A 7. Velocity of volume, ν in the solid is depends to the density, ρ and pressure, E where a E b . Determine a and b and state the final expression for the equation above. 8. Explain why 1mL is equivalent to 1cm3 9. (a) Which of the following represents the greatest speed: (i) 1m/s (ii) 1km/h (iii) 1ft/s; or (iv) 1mi/h? (b) If blood flows with an average speed of 0.35m/s in the human circulatory system, how many miles does cell travel in 1 hour? 10. (a) Define the significant figures. (b) Determine the significant figures in the following measured numbers: (i) 1.006m (ii) 8.02cm (iii) 0.015µs (microseconds)