During a test on a single cylinder, four stroke engine having a compression ratio of 6, following data were recorded :

Bore \(=10 \mathrm{~cm} ;\) Stroke \(=12.5 \mathrm{~cm} ;\) Indicated mean effective pressure \(=2.6 \mathrm{bar} ;\)

Dead load on dynamometer, \(W=60 \mathrm{~N}\); Spring balance reading, \(S=19 \mathrm{~N}\);

Effective radius of flywheel, \(R=40 \mathrm{~cm}\); Fuel consumption, \(\dot{m}_{f}=1.0 \mathrm{~kg} / \mathrm{h}\);

Calorific value of fuel used; \(C V=42000 \mathrm{~kJ} / \mathrm{kg} ;\) Speed \(N=2000 \mathrm{rpm}\).

Determine its

(a) indicated power,

(b) brake power,

(c) mechanical efficiency,

(d) overall efficiency,

(e) air standard efficiency, and

(f) relative efficiency.