There is a 1.2 m distance between a crest and an adjacent trough in a series of waves on the surface of a lake. In 30s, 35 crests pass a buoy anchored in the lake. What is the speed of these waves?
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To find the speed of the waves, we need to determine the distance traveled by each crest in a given time interval. Let's break down the problem step by step:
Step 1: Calculate the distance traveled by 35 crests in 30 seconds.
Since 35 crests pass the buoy in 30 seconds, we know that the distance traveled by 35 crests is equal to 35 times the distance between a crest and an adjacent trough. Therefore, 35 * 1.2 m = 42 m.
Step 2: Calculate the speed of the waves.
Speed is defined as the distance traveled per unit of time. In this case, the distance traveled is 42 m and the time taken is 30 s. Therefore, the speed of the waves is 42 m / 30 s = 1.4 m/s.
So, the speed of these waves is 1.4 m/s.