Hi William,
Increasing the tyre diameter by having larger wheels would not increase the torque, it would basically reduce the available forward force and put more load on the motor.
If you have room to install a separate jackshaft arrangement, you could use another 17T sprocket and a 30T sprocket mounted on the jackshaft to provide a two stage gear reduction with an overall gear ratio of ~8.1:1.
The existing 17T motor sprocket would drive the 30T sprocket on the jackshaft, and then the 17T sprocket on the jackshaft would drive the 78T sprocket on the axle.
By increasing your overall gear ratio from 4.588:1 to 8.1:1, the torque on the rear axle would jump from 63Nm to 112.7Nm which should produce nearly 79% more driving force.
I would describe an increase in the available axle torque of
79% as substantial rather than subtle.
Applying a forward force of 99lbs
(440N) should be noticeably different to 56lbs
(250N).
Time for some Physics:
Force
(N) = Mass
(kg) x Acceleration
(m/s), therefore: Acceleration = Force divided by Mass
(a=F/m)Acceleration with existing 4.588:1 gear reduction= 250N/227kg = 1.1m/s
2 Acceleration with proposed 8.1:1 gear reduction = 440N/227kg = 1.94m/s
2As Time = (Final Velocity - Initial Velocity) / Acceleration, where Initial Velocity = 0m/s
(0mph) and Final Velocity = 11.176m/s
(25mph) then (11.176-0)/1.1 = 10.16 and (11.176-0)/1.94 = 5.76.
A constant motor torque of 13.92N driving through your existing gearing of
4.588:1 would take
10.16 seconds to accelerate a 227kg mass from zero to 25mph
(over a distance of 56.77m).
The same constant motor torque of 13.92N driving through the proposed
8.1:1 gearing would take
5.76 seconds to accelerate the same 227kg mass from zero to 25mph
(over a distance of 32.18m).
In my opinion, an 8:1 ratio would make a significant difference to the acceleration.
Alan