You already have the linear speed, 1125 ft/sec, as used in your originally posted attempt at a solution.natux said:I know I need the linear speed...but I don't how to go about doing that in this situation.
The speed of sound is approximately 343 meters per second (or 767 miles per hour) in standard atmospheric conditions. It is directly related to RPM (revolutions per minute) in the sense that the faster an object rotates, the faster the sound waves it generates will travel.
Yes, it is possible for a blade tip to break the sound barrier. However, this is only achievable at extremely high RPMs and in specific conditions, such as in a vacuum or at high altitudes where the speed of sound is lower.
The exact RPM needed to break the sound barrier would depend on various factors such as the blade length and shape, air density, and temperature. Generally, it would require tens of thousands of RPM to achieve this speed.
Reaching supersonic speeds with a blade tip can cause extreme vibrations and stresses on the blade, potentially leading to failure and catastrophic consequences. It can also generate intense noise and cause damage to surrounding structures.
The speed of a blade tip is typically measured using a tachometer, which is a device that measures the rotational speed of an object. It works by detecting the number of revolutions per minute and converting it into a numerical value.