A certain bacterium swims with a constant speed of 4.61 µm/s. How long will it take to swim across a petri dish that has a diameter of 8.69 cm?
d = V*t = 8.69*10^-2.
4.61*10^-6m/s * t = 8.69*10^-2.
t = 8.69*10^-2/4.61*10^-6 = 1.89*10^4 =
18900 s. = 5.25 h.
To find out how long it will take for the bacterium to swim across the petri dish, we can use the formula for calculating time:
Time = Distance / Speed
First, we need to convert the diameter of the petri dish from centimeters to micrometers:
Diameter (cm) = 8.69 cm
Diameter (µm) = 8.69 cm * 10,000 µm/cm = 86,900 µm
Next, we need to calculate the distance the bacterium needs to swim, which is equal to the circumference of the dish:
Circumference = π * Diameter
Circumference = 3.14159 * 86,900 µm = 273,243.551 µm
Now we can calculate the time:
Time = Distance / Speed
Time = 273,243.551 µm / 4.61 µm/s
Time = 59,431.36 s
Therefore, it will take approximately 59,431.36 seconds for the bacterium to swim across the petri dish.
To find the time it takes for the bacterium to swim across the petri dish, we can use the formula:
Time = Distance / Speed
First, let's convert the diameter of the petri dish from centimeters to micrometers since the speed of the bacterium is given in micrometers per second.
1 centimeter = 10,000 micrometers
Diameter (in micrometers) = 8.69 cm * 10,000 µm/cm
= 86,900 µm
Now we can substitute the values into the formula:
Time = 86,900 µm / 4.61 µm/s
Dividing 86,900 µm by 4.61 µm/s:
Time ≈ 18,871.58 seconds
Therefore, it will take approximately 18,871.58 seconds for the bacterium to swim across the petri dish.