A headlight runs on three 1.5V AAA alkaline batteries. It is specified to give 0.25 lux at 2 m and can last for 75 hours. You are wearing the headlight and reading a map a. Calculate the illuminance (in lux) on a map located 50 cm away from your head, where the angle between the normal of the map and the direction of light is 20°.
b. Calculate the luminous flux (in lumen) of the headlight if the light is projected uniformly in a cone with an angle between the sides of 160°. See the diagram below.
c. Calculate the luminous efficacy of the lamp (in lm/W) if a typical AAA alkaline battery has a capacity of 1 Ah (Ampere hour).

5submission this assignment is worth 20 points total. you are required to submit the following by next lab: 1. (3 points) determine the equation for the output angular velocity ω2 = θ˙ 2 as a function of θ1, ω1 = θ˙ 1 and α. you must show all your work to receive credit. 2. (2 points) use the result of problem#1 to plot ω2 over 0 ≤ θ1 ≤ 360deg with ω1 = 360deg/sec. do this for α = {10,30}deg. show the results on the same plot and properly label the axes, title, legend. for this you can use matlab or ms excel. 3. (3 points) determine the equation for the output angular acceleration ω˙ 2 and create a plot similar to the one in problem#2. 4. (10 points) submit plots of the results (ω2 and ω˙ 2) obtained from creo/mechanism and compare them to results of problem#2 and problem#3. note that you should do these comparisons for the two cases with α = {10,30}deg. 5. (2 points) provide a brief explanation of the results. did they match? what are the implications as misalignment angle increases?

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How many atoms of nitrogen are in the chemical formula ni(w on