At 3:00 AM, the hour hand is pointing directly at the '3' mark on the clock. A full circle on a clock face is 360°. There are 12 hours marked on the clock. The angle between consecutive hour marks is 360° / 12 = 30°. The hour hand moves 30° every hour. We are told the hour hand rotates by 135°. To find out how many hours this rotation represents, we divide the angle by the degrees moved per hour: 135° / 30°/hour = 4.5 hours. So, the time is 3:00 0.5 hours 60 minutes/hour = 4 hours and 30 minutes. Starting from 3:00 AM and adding 4 hours and 30 minutes gives 7:30 AM.
A wall clock shows that the time is 3.00 AM. What would be the time after the hour hand rotates by 135° from that position?
Asked in HAS Prelims 2023 · Topic: Mechanics (Simple Harmonic Motion and Damped/Forced Oscillations)
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