2. The length of minutes hand of a clock is 5 cm. Calculate its speed.
Answers
Answer:
5.2 speed is your answer
Step-by-step explanation:
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Step-by-step explanation:
Given:-
The length of minutes hand of a clock is 5 cm
To find :-
Find the speed of the minute hand ?
Solution :-
Given that
The length of minutes hand of a clock = 5 cm
Radius of the clock = 5 cm
The distance covered for one rotation of the minute hand
= Circumference of the circular clock
= 2πr units
=2×(22/7)×5 cm
=> (2×22×5)/7 cm
=> 220/7 cm
=> 31.42 cm
Total distance = 31.42 cm
The minute hand rotates the clock in 60 minutes
=> 60×60 seconds = 3600 seconds
We know that
Distance = Speed×time
=> Speed = Distance / Time
Linear speed of the minute hand
=> 31.42/3600 cm/sec
=> (3142/100)/3600
=> 3142/360000
=> 0.0087277...
=> 0.00873 cm / sec
And the angle covers in one rotation = 360°
Angular Speed of the minute hand
=> 360°/3600sec
=> 1/10 degree/sec
=> 0.1 degree/sec
Answer:-
The linear speed of the minute hand is
0.00873 cm /sec
The angular Speed of the minute hand is 0.1 degree/sec
Used formulae:-
- Distance = Speed×time
- Circumference of the circle = 2πr units
- π = 22/7