Tag: sports

Flow rate = velocity × cross-sectional area. For a circular pipe, area = πd²/4, so Q = v × (π × d × d)/4.

First derivative of a sin(wt) is a w cos(wt). Differentiating again gives -a w² sin(wt).

Power is conserved across gears: P = T × ω (torque × angular velocity). Since ω doubles (100 to 400 RPM), torque must halve. TB = TA × (100/400) = 200 × 1/4 = 50 Nm.

Sachin Tendulkar's highest ODI score while India was batting second is 175*, which he scored against Australia in Bangalore in 2009. His overall highest ODI score of 200* came while batting first against South Africa in 2010. The 175* innings was part of a run chase but India ultimately lost the match.

Sri Lanka won the 1996 World Cup final against Australia. Aravinda de Silva scored a magnificent century and was named Man of the Match for his outstanding performance. Arjuna Ranatunga was the captain, while the other options were not even playing for Sri Lanka.

In the 2002 NatWest Series final at Lord's, India successfully chased 326 against England. Sourav Ganguly's famous shirt-waving celebration came after this historic victory. This was one of India's most memorable run chases in ODI history.

Zaheer Khan hit three consecutive sixes off Henry Olanga of Zimbabwe in the 2000 ICC Champions Trophy at Nairobi. This was a rare feat of a bowler hitting a hat-trick of sixes. Olanga was a Zimbabwean fast bowler who conceded this punishment.

Saurav Ganguly scored 3 centuries in the 2003 World Cup. He scored centuries against Bangladesh (at Port Elizabeth), Kenya (at Cape Town), and a memorable one against Pakistan in the group match. This was a remarkable individual performance in a single tournament.

The Titan Cup 1996 final was played between India and South Africa. India won this final, with Sachin Tendulkar scoring a brilliant century. This was a tri-series also involving Australia, but India faced South Africa in the final match at Bangalore.