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a) Alternating voltage of a generator is changing according to the function, V below: V = 260 cos (2t), where V is the voltage

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a) Alternating voltage of a generator is changing according to the function, V below: V = 260 cos (2t), where V is the voltage in volts, and t is in seconds. i) Plot the voltage as a function of time t for 0 t 2 seconds. Label the axis, maximum, minimum and intercepts clearly for full marks. ii) An electrical technician needs to determine when the generator will have a voltage that is exactly 130 V. How many times in the interval 0 t 2 will the voltage reach 130 V? iii) Determine the times when the Voltage V = 130 volts for 0 t 2. b) An asphalt roller with a radius, r of 0.7 metres and length, 1 of 2 metres, completes 3 revolutions in 210 seconds. r = 0.7 m 1=2 i) Calculate the linear velocity of the roller in metres per second. ii) How many revolutions does the roller make in 7 minutes?

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