Homework Assignment #1
Name:
Which is larger, two million pennies or two hundred single dollar bills? 2,000,000 / 100 = 20, 000; therefore 2 million pennies is larger or worth more than two hundred single dollar bills. Complete the following, showing your work:
a. 3x10+3 x 2.5x10+4 (3 x 2.5 = 7.5) x 〖10〗^((3+4)) = 7.5 x 〖10〗^7
b. 1200x10-4 – 1.8x100 .12 x 〖10〗^0 - 1.8 x 〖10〗^0 = - 1.68 x 〖10〗^0
c. 1.2x10+2 + 600x10-1 120 + 60 = 180
d. 156x10-6 / 39x10-4 156/39 = 4 = 4 x 〖10〗^(((-6)-(-4))) = 4 x 〖10〗^(-2) Convert 126x10+2 to scientific and engineering notations. Eng Notation = 12.6 x 〖10〗^3 Scientific Notation = 126 x 〖10〗^2 Make the following conversions:
a. Convert 0.34 seconds to milliseconds. 340 x 〖10〗^(-3)
b. Express 0.0005 x 10-4 farads as picofarads. 0.0005 x 〖10〗^(-4) farads = 0.0005x〖10〗^(-4) /〖10〗^(-9) picofarad = 50 picofarad
How far does light travel in a single nanosecond? The speed of light is 3 x 108 m/s. 1 nano-second = 〖10〗^(-9) , 3 x 〖10〗^8 metres per second, in one nanosecond light will travel 0.3 meters.
The frequency of a signal is equal to the reciprocal of the signal’s period (f = 1/p). For a computer with a 2.4 GHz clock, what is the clock period? Use metric notation for your answer. 1/2.4 = .4166666667 = 416666667 x 〖10〗^(-9) The signal shown below is a sine wave as it might be displayed on an oscilloscope. If it takes 40 msec. for the waveform to travel between the points shown by the arrow “B” below, what is the frequency of the waveform?
40msec. = .04 x 〖10〗^(-3); f(Hz) = 1/ T (Sec) = 1/.04 = 25Hz
Power (in watts) is a certain amount of energy (in joules) divided by a certain length of time (in seconds). The laser with the highest peak power produces energy of 186 joules in 167 femtoseconds. What is the