|
How to have a race when your boat doesn't move!
Concept 2's performance monitor (PM) uses signals from a sensor to detect the motion of the flywheel, much the
same as a cycle computer uses a sensor mounted on the front forks of your bike to detect the motion of your wheel. Both
have a built-in "clock" to measure time intervals required for the calculations.
However, unlike the cycle computer, the PM can't use distance or speed to monitor performance simply because
a rowing machine doesn't actually travel anywhere ... there is no speed or distance to measure! Instead, the
PM uses the power applied to the handle to gauge how hard you're rowing.
How is it able to determine this?
Power supplied to the handle: a measure of rowing intensity
Physics tells us that work is done when a force applied to an object causes it to move. For example: a person pulling
on the handle of a rowing machine does work. Now, without getting too technical, it turns out that the work done in
pulling the handle during the rowing cycle can be calculated with knowledge of:
- The motion of the flywheel during the drive
- Some physical quantities associated with the rotating flywheel-fan assembly (predominantly something called the
'moment of inertia' - which depends on the mass and how it's distributed over the assembly)
- The motion of the flywheel during the recovery.
The last of these is important because it's the rate at
which the flywheel slows down during the recovery phase of the stroke that allows the drag force (air
resistance on the fan, friction in the bearings etc.) to be measured and taken into account. Concept 2 tightly control
the consistency of the moment of inertia of the rotational assembly from one rowing machine to another
and have built its value into the PM software. This enables the PM to very accurately compute the work done during each
rowing stroke.
By dividing the amount of work done at the handle by the time taken to complete a stroke the PM calculates the average
power over the stroke. The power, in Watts, is one of three different measures of rowing intensity that the PM
can be set to display.
'Row, row, row your notional boat'
In order to introduce a more familiar concept to the measurement of an indoor rower's performance, a formula is built
into the PM which links the stroke power to the speed that an on-the-water boat may typically travel if the
oarsman were to supply the same power to propel his or her boat. For the mathematically minded, the relationship
between power and 'boat speed' used by Concept 2 is:
Power = 2.8 x Speed 3 (Power in Watts,
speed in metres/second.)
Using this formula the speed for each stroke can be calculated from the average power.
For example, if the power at the handle is 350W, the 'speed' will be 5m/s, because 2.8 x 53 = 350.
Although this 'speed' is an abstract quantity, its mathematical relationship to the actual power at the handle makes it
a perfectly valid quantity for comparing rowing intensities.
Now that we have a means of deriving a 'speed' for each stroke, it becomes a simple matter to calculate the 'distance'
travelled by our notional boat over a given period of time. The use of the above formula linking power to speed and
the accuracy with which Concept 2 rowing machines measure power are what make competitive indoor rowing over
fixed 'distances' a practical reality.
Two more expressions of rowing intensity: pace and energy expenditure
During a race, knowledge of your pace (i.e. the time taken for your notional boat to travel a fixed distance),
rather than your speed, makes it easier to predict your finish time. So in preference to displaying speed, the PM can
display the pace in minutes and seconds per 500m - for each stroke, averaged over a split or averaged over the entire
row.
Using our earlier example: at a 'speed' of 5m/s you would take 100s to 'travel' 500m. So a rowing intensity
of 350 Watts is equivalent to a pace of 1:40/500m.
Finally, an attempt has been made by the PM designers to relate the power exerted at the handle to the rate
of total energy expended by the user while rowing. The units are Calories per hour. This is based on two arbitrary
assumptions:
- The rower expends energy at the rate of 300 Cal/hr performing all functions other than applying power
to the handle. (This includes basal metabolism plus the energy required to perform the rowing movement up and down
the monorail.)
- Of the additional energy required to supply power to the handle, only 25% manifests itself as mechanical power
at the handle.
You should bear in mind that the formula is only an approximation and that it may not be very accurate for any given
individual.
A calculator for converting between units on the Performance Monitor
The calculator below shows you equivalent rowing intensities expressed as pace (minutes & seconds/500m), as power
supplied at the handle (Watts) and as rate of energy expended by the rower (Cal/hr). You can enter an intensity
directly using one of these units or find the average intensity based on the distance and time of a row.
Optionally, you can also predict the total time, distance or Calories accrued when rowing at that intensity by entering
one of these quantities.
You MUST use a colon (:) to separate hours, minutes and seconds.
|