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A cyclist goes around circular track of diameter 105 m in 5 minutes calculate his speed and velocity at the end of 7 minutes 30 seconds?
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A cyclist goes around circular track of diameter 105 m in 5 minutes ca...
Calculation of Speed and Velocity of Cyclist
- Given data:
- Diameter of circular track = 105 m
- Time taken to complete one lap = 5 minutes
- Time at the end of 7 minutes 30 seconds
- Calculating speed:
- Circumference of the circular track = π * diameter
- Circumference = 3.14 * 105 = 329.7 m
- Speed = Distance / Time
- Speed = 329.7 / 300 (converted 5 minutes to seconds)
- Speed = 1.099 m/s
- Calculating velocity at the end of 7 minutes 30 seconds:
- Total laps completed in 7 minutes 30 seconds = 7 min 30 sec / 5 min = 1.5 laps
- Distance covered in 1.5 laps = 1.5 * 329.7 = 494.55 m
- Time taken for 1.5 laps = 7 min 30 sec = 450 seconds
- Velocity = Distance / Time
- Velocity = 494.55 / 450
- Velocity = 1.099 m/s
Therefore, the speed of the cyclist is 1.099 m/s, and the velocity at the end of 7 minutes 30 seconds is also 1.099 m/s. This means that the cyclist maintained a constant speed around the circular track.
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A cyclist goes around circular track of diameter 105 m in 5 minutes calculate his speed and velocity at the end of 7 minutes 30 seconds?
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