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Through how many radians does the hour hand of a clock rotate in 2 hours and 40 minutes?घड़ी की घंटे वाली सुई 2 घंटे 40 मिनट में कितने रेडियन घूमती है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 4π/94π/9
The hour hand completes 2π radians in 12 hours, so its rate is π/6 radians per hour. The elapsed time is 2 + 40/60 = 8/3 hours. Thus, it rotates through (8/3)(π/6) = 4π/9 radians.घंटे वाली सुई 12 घंटे में 2π रेडियन घूमती है, इसलिए उसकी गति π/6 रेडियन प्रति घंटा है। बीता समय 2 + 40/60 = 8/3 घंटे है। अतः वह (8/3)(π/6) = 4π/9 रेडियन घूमती है।
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