A bicycle with 55.20 cm diameter wheels is traveling at 23.60 km/hr.
At what angular speed do the wheels turn?
answer is 23.8
but still not sure how to find the time
How long do they take to turn once around?
To find the time it takes for the bicycle wheels to turn once around, you need to first determine the circumference of the wheels. The circumference of a circle is calculated using the formula: circumference = π * diameter.
In this case, the diameter of the wheels is 55.20 cm. Plugging this value into the formula, we get:
circumference = π * 55.20 cm = 173.78 cm
Now, we need to convert the speed from km/hr to cm/min to match the circumference unit. To do this, you can use the following conversion factors: 1 km = 1000 m = 100,000 cm, and 1 hr = 60 min.
Speed in cm/min = (23.60 km/hr) * (100,000 cm/km) / (60 min/hr) ≈ 39,333.33 cm/min
Now that we have the circumference and the speed of the wheels, we can find the time it takes to complete one rotation using the formula: time = distance / speed.
In this case, the distance is equal to the circumference and the speed is 39,333.33 cm/min:
time = 173.78 cm / 39,333.33 cm/min ≈ 0.00441 min
Converting this time to seconds (multiplying by 60) gives:
time = 0.00441 min * 60 sec/min ≈ 0.265 sec
Therefore, the time it takes for the bicycle wheels to turn once around is approximately 0.265 seconds.
To find the time it takes for the bicycle wheels to turn once around, we need to calculate the circumference of the wheels and divide it by the linear speed of the bicycle.
The formula to calculate the circumference of a wheel is:
C = π * d
where C is the circumference and d is the diameter of the wheel.
In this case, the diameter of the wheel is 55.20 cm, so the radius (r) can be calculated as half the diameter:
r = d / 2 = 55.20 cm / 2 = 27.60 cm
Now we can use the formula to find the circumference of the wheel:
C = π * r = 3.14 * 27.60 cm
Next, we need to convert the linear speed from km/hr to cm/s. There are 100,000 cm in a kilometer and 3600 seconds in an hour:
Linear Speed = 23.60 km/hr
Linear Speed = 23.60 km/hr * (100,000 cm/km) / (3600 s/hr)
Now, we can calculate the time it takes for the wheels to turn once around:
Time = Circumference / Linear Speed
Substituting the values:
Time = (3.14 * 27.60 cm) / (23.60 km/hr * (100,000 cm/km) / (3600 s/hr))
Simplifying the units:
Time = (3.14 * 27.60 cm) / (23.60 * 100,000 cm) * (3600 s)
Calculating the expression:
Time = 3.81 seconds (rounded to two decimal places)
Therefore, it takes approximately 3.81 seconds for the bicycle wheels to turn once around.
YEs, that is what period is.
if it goes 23.8rad/sec, then it goes 23.8rad/sec*1rev/2PI rad or 3.79rev/sec, so period is 1sec=3.79rev or one rev=.264sec, so period is .264sec